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Finding the Fourth Proportional to 9,144.66, 13,695.12 and 7,176.36

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Solution

The fourth proportional to 9,144.66, 13,695.12 and 7,176.36 is: 10,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.66 : 13,695.12 = 7,176.36 : x
  2. Step 2: Convert to fraction form
    9,144.66/13,695.12 = 7,176.36/x
  3. Step 3: Cross multiply
    9,144.66x = 13,695.12 × 7,176.36
  4. Step 4: Simplify right side
    9,144.66x = 98,281,111.36
  5. Step 5: Solve for x
    x = 98,281,111.36/9,144.66
  6. Step 6: Final answer
    x = 10,747.38

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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.