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Finding the Fourth Proportional to 10,434.66, 15,656.40 and 5,507.88

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Solution

The fourth proportional to 10,434.66, 15,656.40 and 5,507.88 is: 8,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.66 : 15,656.40 = 5,507.88 : x
  2. Step 2: Convert to fraction form
    10,434.66/15,656.40 = 5,507.88/x
  3. Step 3: Cross multiply
    10,434.66x = 15,656.40 × 5,507.88
  4. Step 4: Simplify right side
    10,434.66x = 86,233,572.43
  5. Step 5: Solve for x
    x = 86,233,572.43/10,434.66
  6. Step 6: Final answer
    x = 8,264.15

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