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Finding the Fourth Proportional to 39,306, 54,242.28 and 21,642

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Solution

The fourth proportional to 39,306, 54,242.28 and 21,642 is: 29,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306 : 54,242.28 = 21,642 : x
  2. Step 2: Convert to fraction form
    39,306/54,242.28 = 21,642/x
  3. Step 3: Cross multiply
    39,306x = 54,242.28 × 21,642
  4. Step 4: Simplify right side
    39,306x = 1,173,911,423.76
  5. Step 5: Solve for x
    x = 1,173,911,423.76/39,306
  6. Step 6: Final answer
    x = 29,865.96

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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.