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Finding the Fourth Proportional to 9,877.92, 13,630.16 and 5,628.48

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Solution

The fourth proportional to 9,877.92, 13,630.16 and 5,628.48 is: 7,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.92 : 13,630.16 = 5,628.48 : x
  2. Step 2: Convert to fraction form
    9,877.92/13,630.16 = 5,628.48/x
  3. Step 3: Cross multiply
    9,877.92x = 13,630.16 × 5,628.48
  4. Step 4: Simplify right side
    9,877.92x = 76,717,082.96
  5. Step 5: Solve for x
    x = 76,717,082.96/9,877.92
  6. Step 6: Final answer
    x = 7,766.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.