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Finding the Fourth Proportional to 9,711.16, 13,395.99 and 6,728.74

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Solution

The fourth proportional to 9,711.16, 13,395.99 and 6,728.74 is: 9,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.16 : 13,395.99 = 6,728.74 : x
  2. Step 2: Convert to fraction form
    9,711.16/13,395.99 = 6,728.74/x
  3. Step 3: Cross multiply
    9,711.16x = 13,395.99 × 6,728.74
  4. Step 4: Simplify right side
    9,711.16x = 90,138,133.75
  5. Step 5: Solve for x
    x = 90,138,133.75/9,711.16
  6. Step 6: Final answer
    x = 9,281.91

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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.