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Finding the Fourth Proportional to 2,313.90, 3,471.84 and 853.47

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Solution

The fourth proportional to 2,313.90, 3,471.84 and 853.47 is: 1,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.90 : 3,471.84 = 853.47 : x
  2. Step 2: Convert to fraction form
    2,313.90/3,471.84 = 853.47/x
  3. Step 3: Cross multiply
    2,313.90x = 3,471.84 × 853.47
  4. Step 4: Simplify right side
    2,313.90x = 2,963,111.28
  5. Step 5: Solve for x
    x = 2,963,111.28/2,313.90
  6. Step 6: Final answer
    x = 1,280.57

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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.