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Finding the Fourth Proportional to 9,589.60, 13,230 and 7,077.76

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Solution

The fourth proportional to 9,589.60, 13,230 and 7,077.76 is: 9,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.60 : 13,230 = 7,077.76 : x
  2. Step 2: Convert to fraction form
    9,589.60/13,230 = 7,077.76/x
  3. Step 3: Cross multiply
    9,589.60x = 13,230 × 7,077.76
  4. Step 4: Simplify right side
    9,589.60x = 93,638,764.80
  5. Step 5: Solve for x
    x = 93,638,764.80/9,589.60
  6. Step 6: Final answer
    x = 9,764.62

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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.