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Finding the Fourth Proportional to 9,187.50, 12,679.82 and 5,155.44

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Solution

The fourth proportional to 9,187.50, 12,679.82 and 5,155.44 is: 7,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.50 : 12,679.82 = 5,155.44 : x
  2. Step 2: Convert to fraction form
    9,187.50/12,679.82 = 5,155.44/x
  3. Step 3: Cross multiply
    9,187.50x = 12,679.82 × 5,155.44
  4. Step 4: Simplify right side
    9,187.50x = 65,370,051.22
  5. Step 5: Solve for x
    x = 65,370,051.22/9,187.50
  6. Step 6: Final answer
    x = 7,115.11

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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.