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Finding the Fourth Proportional to 7,831.60, 10,807.76 and 4,295

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Solution

The fourth proportional to 7,831.60, 10,807.76 and 4,295 is: 5,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.60 : 10,807.76 = 4,295 : x
  2. Step 2: Convert to fraction form
    7,831.60/10,807.76 = 4,295/x
  3. Step 3: Cross multiply
    7,831.60x = 10,807.76 × 4,295
  4. Step 4: Simplify right side
    7,831.60x = 46,419,329.20
  5. Step 5: Solve for x
    x = 46,419,329.20/7,831.60
  6. Step 6: Final answer
    x = 5,927.18

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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.