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Finding the Fourth Proportional to 5,688.88, 7,854.52 and 3,565.28

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Solution

The fourth proportional to 5,688.88, 7,854.52 and 3,565.28 is: 4,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.88 : 7,854.52 = 3,565.28 : x
  2. Step 2: Convert to fraction form
    5,688.88/7,854.52 = 3,565.28/x
  3. Step 3: Cross multiply
    5,688.88x = 7,854.52 × 3,565.28
  4. Step 4: Simplify right side
    5,688.88x = 28,003,563.07
  5. Step 5: Solve for x
    x = 28,003,563.07/5,688.88
  6. Step 6: Final answer
    x = 4,922.51

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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.