Home / 7,831.47-10,808-4,475.31

Finding the Fourth Proportional to 7,831.47, 10,808 and 4,475.31

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Solution

The fourth proportional to 7,831.47, 10,808 and 4,475.31 is: 6,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.47 : 10,808 = 4,475.31 : x
  2. Step 2: Convert to fraction form
    7,831.47/10,808 = 4,475.31/x
  3. Step 3: Cross multiply
    7,831.47x = 10,808 × 4,475.31
  4. Step 4: Simplify right side
    7,831.47x = 48,369,150.48
  5. Step 5: Solve for x
    x = 48,369,150.48/7,831.47
  6. Step 6: Final answer
    x = 6,176.25

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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.