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Finding the Fourth Proportional to 8,977.62, 12,348 and 7,205.34

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Solution

The fourth proportional to 8,977.62, 12,348 and 7,205.34 is: 9,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.62 : 12,348 = 7,205.34 : x
  2. Step 2: Convert to fraction form
    8,977.62/12,348 = 7,205.34/x
  3. Step 3: Cross multiply
    8,977.62x = 12,348 × 7,205.34
  4. Step 4: Simplify right side
    8,977.62x = 88,971,538.32
  5. Step 5: Solve for x
    x = 88,971,538.32/8,977.62
  6. Step 6: Final answer
    x = 9,910.37

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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.