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Finding the Fourth Proportional to 10,449.58, 15,674.13 and 2,658.40

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Solution

The fourth proportional to 10,449.58, 15,674.13 and 2,658.40 is: 3,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.58 : 15,674.13 = 2,658.40 : x
  2. Step 2: Convert to fraction form
    10,449.58/15,674.13 = 2,658.40/x
  3. Step 3: Cross multiply
    10,449.58x = 15,674.13 × 2,658.40
  4. Step 4: Simplify right side
    10,449.58x = 41,668,107.19
  5. Step 5: Solve for x
    x = 41,668,107.19/10,449.58
  6. Step 6: Final answer
    x = 3,987.54

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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.