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Finding the Fourth Proportional to 27,972.40, 42,007.20 and 14,850.40

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Solution

The fourth proportional to 27,972.40, 42,007.20 and 14,850.40 is: 22,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.40 : 42,007.20 = 14,850.40 : x
  2. Step 2: Convert to fraction form
    27,972.40/42,007.20 = 14,850.40/x
  3. Step 3: Cross multiply
    27,972.40x = 42,007.20 × 14,850.40
  4. Step 4: Simplify right side
    27,972.40x = 623,823,722.88
  5. Step 5: Solve for x
    x = 623,823,722.88/27,972.40
  6. Step 6: Final answer
    x = 22,301.40

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1.5x scale

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.