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Finding the Fourth Proportional to 7,831.71, 10,807.71 and 4,475.55

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Solution

The fourth proportional to 7,831.71, 10,807.71 and 4,475.55 is: 6,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.71 : 10,807.71 = 4,475.55 : x
  2. Step 2: Convert to fraction form
    7,831.71/10,807.71 = 4,475.55/x
  3. Step 3: Cross multiply
    7,831.71x = 10,807.71 × 4,475.55
  4. Step 4: Simplify right side
    7,831.71x = 48,370,446.49
  5. Step 5: Solve for x
    x = 48,370,446.49/7,831.71
  6. Step 6: Final answer
    x = 6,176.23

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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.