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Finding the Fourth Proportional to 3,465, 4,781.61 and 2,048.76

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Solution

The fourth proportional to 3,465, 4,781.61 and 2,048.76 is: 2,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 4,781.61 = 2,048.76 : x
  2. Step 2: Convert to fraction form
    3,465/4,781.61 = 2,048.76/x
  3. Step 3: Cross multiply
    3,465x = 4,781.61 × 2,048.76
  4. Step 4: Simplify right side
    3,465x = 9,796,371.30
  5. Step 5: Solve for x
    x = 9,796,371.30/3,465
  6. Step 6: Final answer
    x = 2,827.24

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Double scale
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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.