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Finding the Fourth Proportional to 5,269.86, 7,902.45 and 1,570.86

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Solution

The fourth proportional to 5,269.86, 7,902.45 and 1,570.86 is: 2,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.86 : 7,902.45 = 1,570.86 : x
  2. Step 2: Convert to fraction form
    5,269.86/7,902.45 = 1,570.86/x
  3. Step 3: Cross multiply
    5,269.86x = 7,902.45 × 1,570.86
  4. Step 4: Simplify right side
    5,269.86x = 12,413,642.61
  5. Step 5: Solve for x
    x = 12,413,642.61/5,269.86
  6. Step 6: Final answer
    x = 2,355.59

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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.