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Finding the Fourth Proportional to 9,127, 12,590.22 and 6,137.56

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Solution

The fourth proportional to 9,127, 12,590.22 and 6,137.56 is: 8,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127 : 12,590.22 = 6,137.56 : x
  2. Step 2: Convert to fraction form
    9,127/12,590.22 = 6,137.56/x
  3. Step 3: Cross multiply
    9,127x = 12,590.22 × 6,137.56
  4. Step 4: Simplify right side
    9,127x = 77,273,230.66
  5. Step 5: Solve for x
    x = 77,273,230.66/9,127
  6. Step 6: Final answer
    x = 8,466.44

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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.