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Finding the Fourth Proportional to 6,691.68, 10,038.14 and 1,761.34

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Solution

The fourth proportional to 6,691.68, 10,038.14 and 1,761.34 is: 2,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.68 : 10,038.14 = 1,761.34 : x
  2. Step 2: Convert to fraction form
    6,691.68/10,038.14 = 1,761.34/x
  3. Step 3: Cross multiply
    6,691.68x = 10,038.14 × 1,761.34
  4. Step 4: Simplify right side
    6,691.68x = 17,680,577.51
  5. Step 5: Solve for x
    x = 17,680,577.51/6,691.68
  6. Step 6: Final answer
    x = 2,642.17

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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.