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Finding the Fourth Proportional to 11,187, 15,438.14 and 6,151.07

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Solution

The fourth proportional to 11,187, 15,438.14 and 6,151.07 is: 8,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187 : 15,438.14 = 6,151.07 : x
  2. Step 2: Convert to fraction form
    11,187/15,438.14 = 6,151.07/x
  3. Step 3: Cross multiply
    11,187x = 15,438.14 × 6,151.07
  4. Step 4: Simplify right side
    11,187x = 94,960,971.86
  5. Step 5: Solve for x
    x = 94,960,971.86/11,187
  6. Step 6: Final answer
    x = 8,488.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.