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Finding the Fourth Proportional to 9,871.92, 14,802.16 and 4,677.76

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Solution

The fourth proportional to 9,871.92, 14,802.16 and 4,677.76 is: 7,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.92 : 14,802.16 = 4,677.76 : x
  2. Step 2: Convert to fraction form
    9,871.92/14,802.16 = 4,677.76/x
  3. Step 3: Cross multiply
    9,871.92x = 14,802.16 × 4,677.76
  4. Step 4: Simplify right side
    9,871.92x = 69,240,951.96
  5. Step 5: Solve for x
    x = 69,240,951.96/9,871.92
  6. Step 6: Final answer
    x = 7,013.93

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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.