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Finding the Fourth Proportional to 7,831.40, 11,690.14 and 7,253.18

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Solution

The fourth proportional to 7,831.40, 11,690.14 and 7,253.18 is: 10,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.40 : 11,690.14 = 7,253.18 : x
  2. Step 2: Convert to fraction form
    7,831.40/11,690.14 = 7,253.18/x
  3. Step 3: Cross multiply
    7,831.40x = 11,690.14 × 7,253.18
  4. Step 4: Simplify right side
    7,831.40x = 84,790,689.65
  5. Step 5: Solve for x
    x = 84,790,689.65/7,831.40
  6. Step 6: Final answer
    x = 10,827.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.