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Finding the Fourth Proportional to 10,484.80, 15,714.24 and 5,287.84

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Solution

The fourth proportional to 10,484.80, 15,714.24 and 5,287.84 is: 7,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.80 : 15,714.24 = 5,287.84 : x
  2. Step 2: Convert to fraction form
    10,484.80/15,714.24 = 5,287.84/x
  3. Step 3: Cross multiply
    10,484.80x = 15,714.24 × 5,287.84
  4. Step 4: Simplify right side
    10,484.80x = 83,094,386.84
  5. Step 5: Solve for x
    x = 83,094,386.84/10,484.80
  6. Step 6: Final answer
    x = 7,925.22

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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.