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Finding the Fourth Proportional to 14,718.32, 20,311.44 and 8,432

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Solution

The fourth proportional to 14,718.32, 20,311.44 and 8,432 is: 11,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.32 : 20,311.44 = 8,432 : x
  2. Step 2: Convert to fraction form
    14,718.32/20,311.44 = 8,432/x
  3. Step 3: Cross multiply
    14,718.32x = 20,311.44 × 8,432
  4. Step 4: Simplify right side
    14,718.32x = 171,266,062.08
  5. Step 5: Solve for x
    x = 171,266,062.08/14,718.32
  6. Step 6: Final answer
    x = 11,636.25

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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.