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Finding the Fourth Proportional to 4,543.28, 6,815 and 1,465.28

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Solution

The fourth proportional to 4,543.28, 6,815 and 1,465.28 is: 2,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.28 : 6,815 = 1,465.28 : x
  2. Step 2: Convert to fraction form
    4,543.28/6,815 = 1,465.28/x
  3. Step 3: Cross multiply
    4,543.28x = 6,815 × 1,465.28
  4. Step 4: Simplify right side
    4,543.28x = 9,985,883.20
  5. Step 5: Solve for x
    x = 9,985,883.20/4,543.28
  6. Step 6: Final answer
    x = 2,197.95

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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.