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Finding the Fourth Proportional to 9,159.84, 12,650.88 and 6,170.44

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Solution

The fourth proportional to 9,159.84, 12,650.88 and 6,170.44 is: 8,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.84 : 12,650.88 = 6,170.44 : x
  2. Step 2: Convert to fraction form
    9,159.84/12,650.88 = 6,170.44/x
  3. Step 3: Cross multiply
    9,159.84x = 12,650.88 × 6,170.44
  4. Step 4: Simplify right side
    9,159.84x = 78,061,495.99
  5. Step 5: Solve for x
    x = 78,061,495.99/9,159.84
  6. Step 6: Final answer
    x = 8,522.15

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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.