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Finding the Fourth Proportional to 10,562.40, 15,838.20 and 3,985.20

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Solution

The fourth proportional to 10,562.40, 15,838.20 and 3,985.20 is: 5,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.40 : 15,838.20 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    10,562.40/15,838.20 = 3,985.20/x
  3. Step 3: Cross multiply
    10,562.40x = 15,838.20 × 3,985.20
  4. Step 4: Simplify right side
    10,562.40x = 63,118,394.64
  5. Step 5: Solve for x
    x = 63,118,394.64/10,562.40
  6. Step 6: Final answer
    x = 5,975.76

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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.