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Finding the Fourth Proportional to 5,727.86, 7,894.40 and 4,929.20

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Solution

The fourth proportional to 5,727.86, 7,894.40 and 4,929.20 is: 6,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.86 : 7,894.40 = 4,929.20 : x
  2. Step 2: Convert to fraction form
    5,727.86/7,894.40 = 4,929.20/x
  3. Step 3: Cross multiply
    5,727.86x = 7,894.40 × 4,929.20
  4. Step 4: Simplify right side
    5,727.86x = 38,913,041.97
  5. Step 5: Solve for x
    x = 38,913,041.97/5,727.86
  6. Step 6: Final answer
    x = 6,793.65

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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.