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Finding the Fourth Proportional to 9,877.76, 13,631.52 and 5,898.12

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Solution

The fourth proportional to 9,877.76, 13,631.52 and 5,898.12 is: 8,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.76 : 13,631.52 = 5,898.12 : x
  2. Step 2: Convert to fraction form
    9,877.76/13,631.52 = 5,898.12/x
  3. Step 3: Cross multiply
    9,877.76x = 13,631.52 × 5,898.12
  4. Step 4: Simplify right side
    9,877.76x = 80,400,340.74
  5. Step 5: Solve for x
    x = 80,400,340.74/9,877.76
  6. Step 6: Final answer
    x = 8,139.53

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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.