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Finding the Fourth Proportional to 31,785.84, 47,681.04 and 8,412

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Solution

The fourth proportional to 31,785.84, 47,681.04 and 8,412 is: 12,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.84 : 47,681.04 = 8,412 : x
  2. Step 2: Convert to fraction form
    31,785.84/47,681.04 = 8,412/x
  3. Step 3: Cross multiply
    31,785.84x = 47,681.04 × 8,412
  4. Step 4: Simplify right side
    31,785.84x = 401,092,908.48
  5. Step 5: Solve for x
    x = 401,092,908.48/31,785.84
  6. Step 6: Final answer
    x = 12,618.60

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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.