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Finding the Fourth Proportional to 4,902.86, 7,353.86 and 1,393.07

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Solution

The fourth proportional to 4,902.86, 7,353.86 and 1,393.07 is: 2,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.86 : 7,353.86 = 1,393.07 : x
  2. Step 2: Convert to fraction form
    4,902.86/7,353.86 = 1,393.07/x
  3. Step 3: Cross multiply
    4,902.86x = 7,353.86 × 1,393.07
  4. Step 4: Simplify right side
    4,902.86x = 10,244,398.02
  5. Step 5: Solve for x
    x = 10,244,398.02/4,902.86
  6. Step 6: Final answer
    x = 2,089.48

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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.