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Finding the Fourth Proportional to 9,569.49, 13,207.49 and 5,321.91

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Solution

The fourth proportional to 9,569.49, 13,207.49 and 5,321.91 is: 7,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.49 : 13,207.49 = 5,321.91 : x
  2. Step 2: Convert to fraction form
    9,569.49/13,207.49 = 5,321.91/x
  3. Step 3: Cross multiply
    9,569.49x = 13,207.49 × 5,321.91
  4. Step 4: Simplify right side
    9,569.49x = 70,289,073.11
  5. Step 5: Solve for x
    x = 70,289,073.11/9,569.49
  6. Step 6: Final answer
    x = 7,345.12

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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.