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Finding the Fourth Proportional to 9,147.63, 12,625.98 and 6,495.90

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Solution

The fourth proportional to 9,147.63, 12,625.98 and 6,495.90 is: 8,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.63 : 12,625.98 = 6,495.90 : x
  2. Step 2: Convert to fraction form
    9,147.63/12,625.98 = 6,495.90/x
  3. Step 3: Cross multiply
    9,147.63x = 12,625.98 × 6,495.90
  4. Step 4: Simplify right side
    9,147.63x = 82,017,031.77
  5. Step 5: Solve for x
    x = 82,017,031.77/9,147.63
  6. Step 6: Final answer
    x = 8,965.93

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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.