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Finding the Fourth Proportional to 8,869.12, 13,232 and 7,983.44

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Solution

The fourth proportional to 8,869.12, 13,232 and 7,983.44 is: 11,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869.12 : 13,232 = 7,983.44 : x
  2. Step 2: Convert to fraction form
    8,869.12/13,232 = 7,983.44/x
  3. Step 3: Cross multiply
    8,869.12x = 13,232 × 7,983.44
  4. Step 4: Simplify right side
    8,869.12x = 105,636,878.08
  5. Step 5: Solve for x
    x = 105,636,878.08/8,869.12
  6. Step 6: Final answer
    x = 11,910.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.