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Finding the Fourth Proportional to 10,388.53, 15,574.12 and 4,839.02

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Solution

The fourth proportional to 10,388.53, 15,574.12 and 4,839.02 is: 7,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.53 : 15,574.12 = 4,839.02 : x
  2. Step 2: Convert to fraction form
    10,388.53/15,574.12 = 4,839.02/x
  3. Step 3: Cross multiply
    10,388.53x = 15,574.12 × 4,839.02
  4. Step 4: Simplify right side
    10,388.53x = 75,363,388.19
  5. Step 5: Solve for x
    x = 75,363,388.19/10,388.53
  6. Step 6: Final answer
    x = 7,254.48

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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.