Home / 31,877.16-47,822.20-11,102.28

Finding the Fourth Proportional to 31,877.16, 47,822.20 and 11,102.28

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Solution

The fourth proportional to 31,877.16, 47,822.20 and 11,102.28 is: 16,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.16 : 47,822.20 = 11,102.28 : x
  2. Step 2: Convert to fraction form
    31,877.16/47,822.20 = 11,102.28/x
  3. Step 3: Cross multiply
    31,877.16x = 47,822.20 × 11,102.28
  4. Step 4: Simplify right side
    31,877.16x = 530,935,454.62
  5. Step 5: Solve for x
    x = 530,935,454.62/31,877.16
  6. Step 6: Final answer
    x = 16,655.67

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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.