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Finding the Fourth Proportional to 31,751.62, 47,627.13 and 19,275.10

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Solution

The fourth proportional to 31,751.62, 47,627.13 and 19,275.10 is: 28,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.62 : 47,627.13 = 19,275.10 : x
  2. Step 2: Convert to fraction form
    31,751.62/47,627.13 = 19,275.10/x
  3. Step 3: Cross multiply
    31,751.62x = 47,627.13 × 19,275.10
  4. Step 4: Simplify right side
    31,751.62x = 918,017,693.46
  5. Step 5: Solve for x
    x = 918,017,693.46/31,751.62
  6. Step 6: Final answer
    x = 28,912.47

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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.