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Finding the Fourth Proportional to 3,503.74, 5,255.42 and 1,312.31

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Solution

The fourth proportional to 3,503.74, 5,255.42 and 1,312.31 is: 1,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.74 : 5,255.42 = 1,312.31 : x
  2. Step 2: Convert to fraction form
    3,503.74/5,255.42 = 1,312.31/x
  3. Step 3: Cross multiply
    3,503.74x = 5,255.42 × 1,312.31
  4. Step 4: Simplify right side
    3,503.74x = 6,896,707.38
  5. Step 5: Solve for x
    x = 6,896,707.38/3,503.74
  6. Step 6: Final answer
    x = 1,968.39

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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.