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Finding the Fourth Proportional to 10,086.84, 15,117.12 and 5,152.32

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Solution

The fourth proportional to 10,086.84, 15,117.12 and 5,152.32 is: 7,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.84 : 15,117.12 = 5,152.32 : x
  2. Step 2: Convert to fraction form
    10,086.84/15,117.12 = 5,152.32/x
  3. Step 3: Cross multiply
    10,086.84x = 15,117.12 × 5,152.32
  4. Step 4: Simplify right side
    10,086.84x = 77,888,239.72
  5. Step 5: Solve for x
    x = 77,888,239.72/10,086.84
  6. Step 6: Final answer
    x = 7,721.77

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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.