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Finding the Fourth Proportional to 9,767.16, 13,478.94 and 5,789.16

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Solution

The fourth proportional to 9,767.16, 13,478.94 and 5,789.16 is: 7,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.16 : 13,478.94 = 5,789.16 : x
  2. Step 2: Convert to fraction form
    9,767.16/13,478.94 = 5,789.16/x
  3. Step 3: Cross multiply
    9,767.16x = 13,478.94 × 5,789.16
  4. Step 4: Simplify right side
    9,767.16x = 78,031,740.29
  5. Step 5: Solve for x
    x = 78,031,740.29/9,767.16
  6. Step 6: Final answer
    x = 7,989.19

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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.