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Finding the Fourth Proportional to 39,152.80, 54,012.40 and 22,376

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Solution

The fourth proportional to 39,152.80, 54,012.40 and 22,376 is: 30,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152.80 : 54,012.40 = 22,376 : x
  2. Step 2: Convert to fraction form
    39,152.80/54,012.40 = 22,376/x
  3. Step 3: Cross multiply
    39,152.80x = 54,012.40 × 22,376
  4. Step 4: Simplify right side
    39,152.80x = 1,208,581,462.40
  5. Step 5: Solve for x
    x = 1,208,581,462.40/39,152.80
  6. Step 6: Final answer
    x = 30,868.33

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1.5x scale

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.