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Finding the Fourth Proportional to 39,762.40, 54,867.40 and 21,854.48

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Solution

The fourth proportional to 39,762.40, 54,867.40 and 21,854.48 is: 30,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.40 : 54,867.40 = 21,854.48 : x
  2. Step 2: Convert to fraction form
    39,762.40/54,867.40 = 21,854.48/x
  3. Step 3: Cross multiply
    39,762.40x = 54,867.40 × 21,854.48
  4. Step 4: Simplify right side
    39,762.40x = 1,199,098,495.95
  5. Step 5: Solve for x
    x = 1,199,098,495.95/39,762.40
  6. Step 6: Final answer
    x = 30,156.59

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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.