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Finding the Fourth Proportional to 9,766.32, 13,447.80 and 7,770.48

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Solution

The fourth proportional to 9,766.32, 13,447.80 and 7,770.48 is: 10,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.32 : 13,447.80 = 7,770.48 : x
  2. Step 2: Convert to fraction form
    9,766.32/13,447.80 = 7,770.48/x
  3. Step 3: Cross multiply
    9,766.32x = 13,447.80 × 7,770.48
  4. Step 4: Simplify right side
    9,766.32x = 104,495,860.94
  5. Step 5: Solve for x
    x = 104,495,860.94/9,766.32
  6. Step 6: Final answer
    x = 10,699.61

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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.