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Finding the Fourth Proportional to 8,966.34, 12,374.94 and 5,189.58

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Solution

The fourth proportional to 8,966.34, 12,374.94 and 5,189.58 is: 7,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.34 : 12,374.94 = 5,189.58 : x
  2. Step 2: Convert to fraction form
    8,966.34/12,374.94 = 5,189.58/x
  3. Step 3: Cross multiply
    8,966.34x = 12,374.94 × 5,189.58
  4. Step 4: Simplify right side
    8,966.34x = 64,220,741.13
  5. Step 5: Solve for x
    x = 64,220,741.13/8,966.34
  6. Step 6: Final answer
    x = 7,162.43

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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.