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Finding the Fourth Proportional to 9,306, 12,842.64 and 5,114.16

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Solution

The fourth proportional to 9,306, 12,842.64 and 5,114.16 is: 7,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 12,842.64 = 5,114.16 : x
  2. Step 2: Convert to fraction form
    9,306/12,842.64 = 5,114.16/x
  3. Step 3: Cross multiply
    9,306x = 12,842.64 × 5,114.16
  4. Step 4: Simplify right side
    9,306x = 65,679,315.78
  5. Step 5: Solve for x
    x = 65,679,315.78/9,306
  6. Step 6: Final answer
    x = 7,057.74

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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.