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Finding the Fourth Proportional to 10,935.29, 15,088.92 and 6,458.42

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Solution

The fourth proportional to 10,935.29, 15,088.92 and 6,458.42 is: 8,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.29 : 15,088.92 = 6,458.42 : x
  2. Step 2: Convert to fraction form
    10,935.29/15,088.92 = 6,458.42/x
  3. Step 3: Cross multiply
    10,935.29x = 15,088.92 × 6,458.42
  4. Step 4: Simplify right side
    10,935.29x = 97,450,507.26
  5. Step 5: Solve for x
    x = 97,450,507.26/10,935.29
  6. Step 6: Final answer
    x = 8,911.57

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