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Finding the Fourth Proportional to 9,131.80, 12,603 and 5,154.36

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Solution

The fourth proportional to 9,131.80, 12,603 and 5,154.36 is: 7,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.80 : 12,603 = 5,154.36 : x
  2. Step 2: Convert to fraction form
    9,131.80/12,603 = 5,154.36/x
  3. Step 3: Cross multiply
    9,131.80x = 12,603 × 5,154.36
  4. Step 4: Simplify right side
    9,131.80x = 64,960,399.08
  5. Step 5: Solve for x
    x = 64,960,399.08/9,131.80
  6. Step 6: Final answer
    x = 7,113.65

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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.