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Finding the Fourth Proportional to 15,689.76, 23,538.72 and 5,831.88

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Solution

The fourth proportional to 15,689.76, 23,538.72 and 5,831.88 is: 8,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.76 : 23,538.72 = 5,831.88 : x
  2. Step 2: Convert to fraction form
    15,689.76/23,538.72 = 5,831.88/x
  3. Step 3: Cross multiply
    15,689.76x = 23,538.72 × 5,831.88
  4. Step 4: Simplify right side
    15,689.76x = 137,274,990.39
  5. Step 5: Solve for x
    x = 137,274,990.39/15,689.76
  6. Step 6: Final answer
    x = 8,749.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.