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Finding the Fourth Proportional to 8,697.84, 13,048.80 and 2,854.80

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Solution

The fourth proportional to 8,697.84, 13,048.80 and 2,854.80 is: 4,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.84 : 13,048.80 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    8,697.84/13,048.80 = 2,854.80/x
  3. Step 3: Cross multiply
    8,697.84x = 13,048.80 × 2,854.80
  4. Step 4: Simplify right side
    8,697.84x = 37,251,714.24
  5. Step 5: Solve for x
    x = 37,251,714.24/8,697.84
  6. Step 6: Final answer
    x = 4,282.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.