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Finding the Fourth Proportional to 3,570, 5,355.68 and 1,263.12

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Solution

The fourth proportional to 3,570, 5,355.68 and 1,263.12 is: 1,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570 : 5,355.68 = 1,263.12 : x
  2. Step 2: Convert to fraction form
    3,570/5,355.68 = 1,263.12/x
  3. Step 3: Cross multiply
    3,570x = 5,355.68 × 1,263.12
  4. Step 4: Simplify right side
    3,570x = 6,764,866.52
  5. Step 5: Solve for x
    x = 6,764,866.52/3,570
  6. Step 6: Final answer
    x = 1,894.92

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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.