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Finding the Fourth Proportional to 2,314.48, 3,472.32 and 853.64

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Solution

The fourth proportional to 2,314.48, 3,472.32 and 853.64 is: 1,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.48 : 3,472.32 = 853.64 : x
  2. Step 2: Convert to fraction form
    2,314.48/3,472.32 = 853.64/x
  3. Step 3: Cross multiply
    2,314.48x = 3,472.32 × 853.64
  4. Step 4: Simplify right side
    2,314.48x = 2,964,111.24
  5. Step 5: Solve for x
    x = 2,964,111.24/2,314.48
  6. Step 6: Final answer
    x = 1,280.68

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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.