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Finding the Fourth Proportional to 39,762, 59,643.36 and 12,060

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Solution

The fourth proportional to 39,762, 59,643.36 and 12,060 is: 18,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762 : 59,643.36 = 12,060 : x
  2. Step 2: Convert to fraction form
    39,762/59,643.36 = 12,060/x
  3. Step 3: Cross multiply
    39,762x = 59,643.36 × 12,060
  4. Step 4: Simplify right side
    39,762x = 719,298,921.60
  5. Step 5: Solve for x
    x = 719,298,921.60/39,762
  6. Step 6: Final answer
    x = 18,090.11

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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.