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Finding the Fourth Proportional to 23,376, 32,259.84 and 13,440

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Solution

The fourth proportional to 23,376, 32,259.84 and 13,440 is: 18,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376 : 32,259.84 = 13,440 : x
  2. Step 2: Convert to fraction form
    23,376/32,259.84 = 13,440/x
  3. Step 3: Cross multiply
    23,376x = 32,259.84 × 13,440
  4. Step 4: Simplify right side
    23,376x = 433,572,249.60
  5. Step 5: Solve for x
    x = 433,572,249.60/23,376
  6. Step 6: Final answer
    x = 18,547.75

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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.