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Finding the Fourth Proportional to 31,831.80, 47,675.04 and 15,203.56

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Solution

The fourth proportional to 31,831.80, 47,675.04 and 15,203.56 is: 22,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.80 : 47,675.04 = 15,203.56 : x
  2. Step 2: Convert to fraction form
    31,831.80/47,675.04 = 15,203.56/x
  3. Step 3: Cross multiply
    31,831.80x = 47,675.04 × 15,203.56
  4. Step 4: Simplify right side
    31,831.80x = 724,830,331.14
  5. Step 5: Solve for x
    x = 724,830,331.14/31,831.80
  6. Step 6: Final answer
    x = 22,770.64

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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.