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Finding the Fourth Proportional to 31,837.52, 47,752.64 and 8,465.76

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Solution

The fourth proportional to 31,837.52, 47,752.64 and 8,465.76 is: 12,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.52 : 47,752.64 = 8,465.76 : x
  2. Step 2: Convert to fraction form
    31,837.52/47,752.64 = 8,465.76/x
  3. Step 3: Cross multiply
    31,837.52x = 47,752.64 × 8,465.76
  4. Step 4: Simplify right side
    31,837.52x = 404,262,389.61
  5. Step 5: Solve for x
    x = 404,262,389.61/31,837.52
  6. Step 6: Final answer
    x = 12,697.67

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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.