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Finding the Fourth Proportional to 31,456.04, 47,184.06 and 10,679

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Solution

The fourth proportional to 31,456.04, 47,184.06 and 10,679 is: 16,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.04 : 47,184.06 = 10,679 : x
  2. Step 2: Convert to fraction form
    31,456.04/47,184.06 = 10,679/x
  3. Step 3: Cross multiply
    31,456.04x = 47,184.06 × 10,679
  4. Step 4: Simplify right side
    31,456.04x = 503,878,576.74
  5. Step 5: Solve for x
    x = 503,878,576.74/31,456.04
  6. Step 6: Final answer
    x = 16,018.50

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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.