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Finding the Fourth Proportional to 31,642.16, 47,461.97 and 7,949.88

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Solution

The fourth proportional to 31,642.16, 47,461.97 and 7,949.88 is: 11,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.16 : 47,461.97 = 7,949.88 : x
  2. Step 2: Convert to fraction form
    31,642.16/47,461.97 = 7,949.88/x
  3. Step 3: Cross multiply
    31,642.16x = 47,461.97 × 7,949.88
  4. Step 4: Simplify right side
    31,642.16x = 377,316,926.31
  5. Step 5: Solve for x
    x = 377,316,926.31/31,642.16
  6. Step 6: Final answer
    x = 11,924.50

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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.