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Finding the Fourth Proportional to 2,312.95, 3,469.58 and 853.13

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Solution

The fourth proportional to 2,312.95, 3,469.58 and 853.13 is: 1,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.95 : 3,469.58 = 853.13 : x
  2. Step 2: Convert to fraction form
    2,312.95/3,469.58 = 853.13/x
  3. Step 3: Cross multiply
    2,312.95x = 3,469.58 × 853.13
  4. Step 4: Simplify right side
    2,312.95x = 2,960,002.79
  5. Step 5: Solve for x
    x = 2,960,002.79/2,312.95
  6. Step 6: Final answer
    x = 1,279.75

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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.