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Finding the Fourth Proportional to 31,395.70, 47,109.70 and 17,353.11

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Solution

The fourth proportional to 31,395.70, 47,109.70 and 17,353.11 is: 26,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.70 : 47,109.70 = 17,353.11 : x
  2. Step 2: Convert to fraction form
    31,395.70/47,109.70 = 17,353.11/x
  3. Step 3: Cross multiply
    31,395.70x = 47,109.70 × 17,353.11
  4. Step 4: Simplify right side
    31,395.70x = 817,499,806.17
  5. Step 5: Solve for x
    x = 817,499,806.17/31,395.70
  6. Step 6: Final answer
    x = 26,038.59

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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.