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Finding the Fourth Proportional to 20,988, 31,484.16 and 6,200.64

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Solution

The fourth proportional to 20,988, 31,484.16 and 6,200.64 is: 9,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 31,484.16 = 6,200.64 : x
  2. Step 2: Convert to fraction form
    20,988/31,484.16 = 6,200.64/x
  3. Step 3: Cross multiply
    20,988x = 31,484.16 × 6,200.64
  4. Step 4: Simplify right side
    20,988x = 195,221,941.86
  5. Step 5: Solve for x
    x = 195,221,941.86/20,988
  6. Step 6: Final answer
    x = 9,301.60

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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.