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Finding the Fourth Proportional to 13,320, 18,381.60 and 7,432

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Solution

The fourth proportional to 13,320, 18,381.60 and 7,432 is: 10,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,320 : 18,381.60 = 7,432 : x
  2. Step 2: Convert to fraction form
    13,320/18,381.60 = 7,432/x
  3. Step 3: Cross multiply
    13,320x = 18,381.60 × 7,432
  4. Step 4: Simplify right side
    13,320x = 136,612,051.20
  5. Step 5: Solve for x
    x = 136,612,051.20/13,320
  6. Step 6: Final answer
    x = 10,256.16

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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.