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Finding the Fourth Proportional to 8,989.76, 12,406 and 5,213.20

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Solution

The fourth proportional to 8,989.76, 12,406 and 5,213.20 is: 7,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.76 : 12,406 = 5,213.20 : x
  2. Step 2: Convert to fraction form
    8,989.76/12,406 = 5,213.20/x
  3. Step 3: Cross multiply
    8,989.76x = 12,406 × 5,213.20
  4. Step 4: Simplify right side
    8,989.76x = 64,674,959.20
  5. Step 5: Solve for x
    x = 64,674,959.20/8,989.76
  6. Step 6: Final answer
    x = 7,194.29

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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.