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Finding the Fourth Proportional to 9,769.95, 13,488.65 and 7,527.57

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Solution

The fourth proportional to 9,769.95, 13,488.65 and 7,527.57 is: 10,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.95 : 13,488.65 = 7,527.57 : x
  2. Step 2: Convert to fraction form
    9,769.95/13,488.65 = 7,527.57/x
  3. Step 3: Cross multiply
    9,769.95x = 13,488.65 × 7,527.57
  4. Step 4: Simplify right side
    9,769.95x = 101,536,719.44
  5. Step 5: Solve for x
    x = 101,536,719.44/9,769.95
  6. Step 6: Final answer
    x = 10,392.76

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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.