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Finding the Fourth Proportional to 8,894.96, 12,265.77 and 7,640.18

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Solution

The fourth proportional to 8,894.96, 12,265.77 and 7,640.18 is: 10,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.96 : 12,265.77 = 7,640.18 : x
  2. Step 2: Convert to fraction form
    8,894.96/12,265.77 = 7,640.18/x
  3. Step 3: Cross multiply
    8,894.96x = 12,265.77 × 7,640.18
  4. Step 4: Simplify right side
    8,894.96x = 93,712,690.64
  5. Step 5: Solve for x
    x = 93,712,690.64/8,894.96
  6. Step 6: Final answer
    x = 10,535.48

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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.