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Finding the Fourth Proportional to 31,830.76, 47,742.90 and 8,459.56

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Solution

The fourth proportional to 31,830.76, 47,742.90 and 8,459.56 is: 12,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.76 : 47,742.90 = 8,459.56 : x
  2. Step 2: Convert to fraction form
    31,830.76/47,742.90 = 8,459.56/x
  3. Step 3: Cross multiply
    31,830.76x = 47,742.90 × 8,459.56
  4. Step 4: Simplify right side
    31,830.76x = 403,883,927.12
  5. Step 5: Solve for x
    x = 403,883,927.12/31,830.76
  6. Step 6: Final answer
    x = 12,688.48

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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.