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Finding the Fourth Proportional to 5,328, 7,352.64 and 4,155.12

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Solution

The fourth proportional to 5,328, 7,352.64 and 4,155.12 is: 5,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328 : 7,352.64 = 4,155.12 : x
  2. Step 2: Convert to fraction form
    5,328/7,352.64 = 4,155.12/x
  3. Step 3: Cross multiply
    5,328x = 7,352.64 × 4,155.12
  4. Step 4: Simplify right side
    5,328x = 30,551,101.52
  5. Step 5: Solve for x
    x = 30,551,101.52/5,328
  6. Step 6: Final answer
    x = 5,734.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.