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Finding the Fourth Proportional to 12,123.66, 18,188.10 and 7,187.52

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Solution

The fourth proportional to 12,123.66, 18,188.10 and 7,187.52 is: 10,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.66 : 18,188.10 = 7,187.52 : x
  2. Step 2: Convert to fraction form
    12,123.66/18,188.10 = 7,187.52/x
  3. Step 3: Cross multiply
    12,123.66x = 18,188.10 × 7,187.52
  4. Step 4: Simplify right side
    12,123.66x = 130,727,332.51
  5. Step 5: Solve for x
    x = 130,727,332.51/12,123.66
  6. Step 6: Final answer
    x = 10,782.83

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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.