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Finding the Fourth Proportional to 9,354, 12,908.70 and 5,162.16

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Solution

The fourth proportional to 9,354, 12,908.70 and 5,162.16 is: 7,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354 : 12,908.70 = 5,162.16 : x
  2. Step 2: Convert to fraction form
    9,354/12,908.70 = 5,162.16/x
  3. Step 3: Cross multiply
    9,354x = 12,908.70 × 5,162.16
  4. Step 4: Simplify right side
    9,354x = 66,636,774.79
  5. Step 5: Solve for x
    x = 66,636,774.79/9,354
  6. Step 6: Final answer
    x = 7,123.88

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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.