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Finding the Fourth Proportional to 40,320, 55,641.84 and 23,549.76

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Solution

The fourth proportional to 40,320, 55,641.84 and 23,549.76 is: 32,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 55,641.84 = 23,549.76 : x
  2. Step 2: Convert to fraction form
    40,320/55,641.84 = 23,549.76/x
  3. Step 3: Cross multiply
    40,320x = 55,641.84 × 23,549.76
  4. Step 4: Simplify right side
    40,320x = 1,310,351,977.96
  5. Step 5: Solve for x
    x = 1,310,351,977.96/40,320
  6. Step 6: Final answer
    x = 32,498.81

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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.