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Finding the Fourth Proportional to 5,678.56, 7,831.97 and 3,689.76

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Solution

The fourth proportional to 5,678.56, 7,831.97 and 3,689.76 is: 5,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.56 : 7,831.97 = 3,689.76 : x
  2. Step 2: Convert to fraction form
    5,678.56/7,831.97 = 3,689.76/x
  3. Step 3: Cross multiply
    5,678.56x = 7,831.97 × 3,689.76
  4. Step 4: Simplify right side
    5,678.56x = 28,898,089.63
  5. Step 5: Solve for x
    x = 28,898,089.63/5,678.56
  6. Step 6: Final answer
    x = 5,088.98

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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.