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Finding the Fourth Proportional to 8,997.76, 12,416 and 5,018.56

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Solution

The fourth proportional to 8,997.76, 12,416 and 5,018.56 is: 6,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.76 : 12,416 = 5,018.56 : x
  2. Step 2: Convert to fraction form
    8,997.76/12,416 = 5,018.56/x
  3. Step 3: Cross multiply
    8,997.76x = 12,416 × 5,018.56
  4. Step 4: Simplify right side
    8,997.76x = 62,310,440.96
  5. Step 5: Solve for x
    x = 62,310,440.96/8,997.76
  6. Step 6: Final answer
    x = 6,925.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.