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Finding the Fourth Proportional to 4,646.49, 6,409.90 and 3,075.90

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Solution

The fourth proportional to 4,646.49, 6,409.90 and 3,075.90 is: 4,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.49 : 6,409.90 = 3,075.90 : x
  2. Step 2: Convert to fraction form
    4,646.49/6,409.90 = 3,075.90/x
  3. Step 3: Cross multiply
    4,646.49x = 6,409.90 × 3,075.90
  4. Step 4: Simplify right side
    4,646.49x = 19,716,211.41
  5. Step 5: Solve for x
    x = 19,716,211.41/4,646.49
  6. Step 6: Final answer
    x = 4,243.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.