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Finding the Fourth Proportional to 3,503.57, 5,256.95 and 1,312.47

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Solution

The fourth proportional to 3,503.57, 5,256.95 and 1,312.47 is: 1,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.57 : 5,256.95 = 1,312.47 : x
  2. Step 2: Convert to fraction form
    3,503.57/5,256.95 = 1,312.47/x
  3. Step 3: Cross multiply
    3,503.57x = 5,256.95 × 1,312.47
  4. Step 4: Simplify right side
    3,503.57x = 6,899,582.60
  5. Step 5: Solve for x
    x = 6,899,582.60/3,503.57
  6. Step 6: Final answer
    x = 1,969.30

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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.