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Finding the Fourth Proportional to 1,674.32, 2,513.02 and 853.16

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Solution

The fourth proportional to 1,674.32, 2,513.02 and 853.16 is: 1,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.32 : 2,513.02 = 853.16 : x
  2. Step 2: Convert to fraction form
    1,674.32/2,513.02 = 853.16/x
  3. Step 3: Cross multiply
    1,674.32x = 2,513.02 × 853.16
  4. Step 4: Simplify right side
    1,674.32x = 2,144,008.14
  5. Step 5: Solve for x
    x = 2,144,008.14/1,674.32
  6. Step 6: Final answer
    x = 1,280.52

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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.