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Finding the Fourth Proportional to 5,678.76, 7,831.34 and 4,502.64

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Solution

The fourth proportional to 5,678.76, 7,831.34 and 4,502.64 is: 6,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.76 : 7,831.34 = 4,502.64 : x
  2. Step 2: Convert to fraction form
    5,678.76/7,831.34 = 4,502.64/x
  3. Step 3: Cross multiply
    5,678.76x = 7,831.34 × 4,502.64
  4. Step 4: Simplify right side
    5,678.76x = 35,261,704.74
  5. Step 5: Solve for x
    x = 35,261,704.74/5,678.76
  6. Step 6: Final answer
    x = 6,209.40

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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.