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Finding the Fourth Proportional to 10,480, 15,716.88 and 4,930.24

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Solution

The fourth proportional to 10,480, 15,716.88 and 4,930.24 is: 7,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480 : 15,716.88 = 4,930.24 : x
  2. Step 2: Convert to fraction form
    10,480/15,716.88 = 4,930.24/x
  3. Step 3: Cross multiply
    10,480x = 15,716.88 × 4,930.24
  4. Step 4: Simplify right side
    10,480x = 77,487,990.45
  5. Step 5: Solve for x
    x = 77,487,990.45/10,480
  6. Step 6: Final answer
    x = 7,393.89

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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.