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Finding the Fourth Proportional to 3,075.41, 4,613.13 and 766.91

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Solution

The fourth proportional to 3,075.41, 4,613.13 and 766.91 is: 1,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.41 : 4,613.13 = 766.91 : x
  2. Step 2: Convert to fraction form
    3,075.41/4,613.13 = 766.91/x
  3. Step 3: Cross multiply
    3,075.41x = 4,613.13 × 766.91
  4. Step 4: Simplify right side
    3,075.41x = 3,537,828.63
  5. Step 5: Solve for x
    x = 3,537,828.63/3,075.41
  6. Step 6: Final answer
    x = 1,150.36

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.