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Finding the Fourth Proportional to 9,832.62, 13,572.51 and 8,782.86

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Solution

The fourth proportional to 9,832.62, 13,572.51 and 8,782.86 is: 12,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.62 : 13,572.51 = 8,782.86 : x
  2. Step 2: Convert to fraction form
    9,832.62/13,572.51 = 8,782.86/x
  3. Step 3: Cross multiply
    9,832.62x = 13,572.51 × 8,782.86
  4. Step 4: Simplify right side
    9,832.62x = 119,205,455.18
  5. Step 5: Solve for x
    x = 119,205,455.18/9,832.62
  6. Step 6: Final answer
    x = 12,123.47

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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.