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Finding the Fourth Proportional to 31,873.42, 47,810.08 and 9,686.70

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Solution

The fourth proportional to 31,873.42, 47,810.08 and 9,686.70 is: 14,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.42 : 47,810.08 = 9,686.70 : x
  2. Step 2: Convert to fraction form
    31,873.42/47,810.08 = 9,686.70/x
  3. Step 3: Cross multiply
    31,873.42x = 47,810.08 × 9,686.70
  4. Step 4: Simplify right side
    31,873.42x = 463,121,901.94
  5. Step 5: Solve for x
    x = 463,121,901.94/31,873.42
  6. Step 6: Final answer
    x = 14,530.03

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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.