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Finding the Fourth Proportional to 9,315, 13,974.66 and 6,713.28

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Solution

The fourth proportional to 9,315, 13,974.66 and 6,713.28 is: 10,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315 : 13,974.66 = 6,713.28 : x
  2. Step 2: Convert to fraction form
    9,315/13,974.66 = 6,713.28/x
  3. Step 3: Cross multiply
    9,315x = 13,974.66 × 6,713.28
  4. Step 4: Simplify right side
    9,315x = 93,815,805.48
  5. Step 5: Solve for x
    x = 93,815,805.48/9,315
  6. Step 6: Final answer
    x = 10,071.48

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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.