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Finding the Fourth Proportional to 31,643.68, 47,472.72 and 16,844.80

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Solution

The fourth proportional to 31,643.68, 47,472.72 and 16,844.80 is: 25,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.68 : 47,472.72 = 16,844.80 : x
  2. Step 2: Convert to fraction form
    31,643.68/47,472.72 = 16,844.80/x
  3. Step 3: Cross multiply
    31,643.68x = 47,472.72 × 16,844.80
  4. Step 4: Simplify right side
    31,643.68x = 799,668,473.86
  5. Step 5: Solve for x
    x = 799,668,473.86/31,643.68
  6. Step 6: Final answer
    x = 25,271.03

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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.