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Finding the Fourth Proportional to 5,151.72, 7,109.04 and 2,883

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Solution

The fourth proportional to 5,151.72, 7,109.04 and 2,883 is: 3,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.72 : 7,109.04 = 2,883 : x
  2. Step 2: Convert to fraction form
    5,151.72/7,109.04 = 2,883/x
  3. Step 3: Cross multiply
    5,151.72x = 7,109.04 × 2,883
  4. Step 4: Simplify right side
    5,151.72x = 20,495,362.32
  5. Step 5: Solve for x
    x = 20,495,362.32/5,151.72
  6. Step 6: Final answer
    x = 3,978.35

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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.