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Finding the Fourth Proportional to 18,123, 27,188.40 and 5,642.76

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Solution

The fourth proportional to 18,123, 27,188.40 and 5,642.76 is: 8,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123 : 27,188.40 = 5,642.76 : x
  2. Step 2: Convert to fraction form
    18,123/27,188.40 = 5,642.76/x
  3. Step 3: Cross multiply
    18,123x = 27,188.40 × 5,642.76
  4. Step 4: Simplify right side
    18,123x = 153,417,615.98
  5. Step 5: Solve for x
    x = 153,417,615.98/18,123
  6. Step 6: Final answer
    x = 8,465.35

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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.