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Finding the Fourth Proportional to 24,320, 33,561.60 and 13,142

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Solution

The fourth proportional to 24,320, 33,561.60 and 13,142 is: 18,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320 : 33,561.60 = 13,142 : x
  2. Step 2: Convert to fraction form
    24,320/33,561.60 = 13,142/x
  3. Step 3: Cross multiply
    24,320x = 33,561.60 × 13,142
  4. Step 4: Simplify right side
    24,320x = 441,066,547.20
  5. Step 5: Solve for x
    x = 441,066,547.20/24,320
  6. Step 6: Final answer
    x = 18,135.96

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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.