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Finding the Fourth Proportional to 8,699.46, 12,986.20 and 7,648.54

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Solution

The fourth proportional to 8,699.46, 12,986.20 and 7,648.54 is: 11,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.46 : 12,986.20 = 7,648.54 : x
  2. Step 2: Convert to fraction form
    8,699.46/12,986.20 = 7,648.54/x
  3. Step 3: Cross multiply
    8,699.46x = 12,986.20 × 7,648.54
  4. Step 4: Simplify right side
    8,699.46x = 99,325,470.15
  5. Step 5: Solve for x
    x = 99,325,470.15/8,699.46
  6. Step 6: Final answer
    x = 11,417.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.