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Finding the Fourth Proportional to 29,088, 40,141.44 and 15,840

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Solution

The fourth proportional to 29,088, 40,141.44 and 15,840 is: 21,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,088 : 40,141.44 = 15,840 : x
  2. Step 2: Convert to fraction form
    29,088/40,141.44 = 15,840/x
  3. Step 3: Cross multiply
    29,088x = 40,141.44 × 15,840
  4. Step 4: Simplify right side
    29,088x = 635,840,409.60
  5. Step 5: Solve for x
    x = 635,840,409.60/29,088
  6. Step 6: Final answer
    x = 21,859.20

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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.