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Finding the Fourth Proportional to 9,877, 13,630.08 and 5,899

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Solution

The fourth proportional to 9,877, 13,630.08 and 5,899 is: 8,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 13,630.08 = 5,899 : x
  2. Step 2: Convert to fraction form
    9,877/13,630.08 = 5,899/x
  3. Step 3: Cross multiply
    9,877x = 13,630.08 × 5,899
  4. Step 4: Simplify right side
    9,877x = 80,403,841.92
  5. Step 5: Solve for x
    x = 80,403,841.92/9,877
  6. Step 6: Final answer
    x = 8,140.51

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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.