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Finding the Fourth Proportional to 9,927.10, 14,902.80 and 5,488.30

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Solution

The fourth proportional to 9,927.10, 14,902.80 and 5,488.30 is: 8,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.10 : 14,902.80 = 5,488.30 : x
  2. Step 2: Convert to fraction form
    9,927.10/14,902.80 = 5,488.30/x
  3. Step 3: Cross multiply
    9,927.10x = 14,902.80 × 5,488.30
  4. Step 4: Simplify right side
    9,927.10x = 81,791,037.24
  5. Step 5: Solve for x
    x = 81,791,037.24/9,927.10
  6. Step 6: Final answer
    x = 8,239.17

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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.