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Finding the Fourth Proportional to 40,827, 61,240.50 and 13,125

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Solution

The fourth proportional to 40,827, 61,240.50 and 13,125 is: 19,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,827 : 61,240.50 = 13,125 : x
  2. Step 2: Convert to fraction form
    40,827/61,240.50 = 13,125/x
  3. Step 3: Cross multiply
    40,827x = 61,240.50 × 13,125
  4. Step 4: Simplify right side
    40,827x = 803,781,562.50
  5. Step 5: Solve for x
    x = 803,781,562.50/40,827
  6. Step 6: Final answer
    x = 19,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.