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Finding the Fourth Proportional to 31,931.85, 47,897.78 and 9,745.34

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Solution

The fourth proportional to 31,931.85, 47,897.78 and 9,745.34 is: 14,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931.85 : 47,897.78 = 9,745.34 : x
  2. Step 2: Convert to fraction form
    31,931.85/47,897.78 = 9,745.34/x
  3. Step 3: Cross multiply
    31,931.85x = 47,897.78 × 9,745.34
  4. Step 4: Simplify right side
    31,931.85x = 466,780,151.35
  5. Step 5: Solve for x
    x = 466,780,151.35/31,931.85
  6. Step 6: Final answer
    x = 14,618.01

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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.