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Finding the Fourth Proportional to 31,807.64, 47,717.64 and 12,100.06

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Solution

The fourth proportional to 31,807.64, 47,717.64 and 12,100.06 is: 18,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.64 : 47,717.64 = 12,100.06 : x
  2. Step 2: Convert to fraction form
    31,807.64/47,717.64 = 12,100.06/x
  3. Step 3: Cross multiply
    31,807.64x = 47,717.64 × 12,100.06
  4. Step 4: Simplify right side
    31,807.64x = 577,386,307.06
  5. Step 5: Solve for x
    x = 577,386,307.06/31,807.64
  6. Step 6: Final answer
    x = 18,152.44

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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.