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Finding the Fourth Proportional to 9,876.74, 13,557.33 and 8,732.61

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Solution

The fourth proportional to 9,876.74, 13,557.33 and 8,732.61 is: 11,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.74 : 13,557.33 = 8,732.61 : x
  2. Step 2: Convert to fraction form
    9,876.74/13,557.33 = 8,732.61/x
  3. Step 3: Cross multiply
    9,876.74x = 13,557.33 × 8,732.61
  4. Step 4: Simplify right side
    9,876.74x = 118,390,875.53
  5. Step 5: Solve for x
    x = 118,390,875.53/9,876.74
  6. Step 6: Final answer
    x = 11,986.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.