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Finding the Fourth Proportional to 9,569.61, 13,205.17 and 8,864.30

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Solution

The fourth proportional to 9,569.61, 13,205.17 and 8,864.30 is: 12,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.61 : 13,205.17 = 8,864.30 : x
  2. Step 2: Convert to fraction form
    9,569.61/13,205.17 = 8,864.30/x
  3. Step 3: Cross multiply
    9,569.61x = 13,205.17 × 8,864.30
  4. Step 4: Simplify right side
    9,569.61x = 117,054,544.11
  5. Step 5: Solve for x
    x = 117,054,544.11/9,569.61
  6. Step 6: Final answer
    x = 12,231.90

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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.