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Finding the Fourth Proportional to 7,739, 11,608.77 and 2,545.28

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Solution

The fourth proportional to 7,739, 11,608.77 and 2,545.28 is: 3,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739 : 11,608.77 = 2,545.28 : x
  2. Step 2: Convert to fraction form
    7,739/11,608.77 = 2,545.28/x
  3. Step 3: Cross multiply
    7,739x = 11,608.77 × 2,545.28
  4. Step 4: Simplify right side
    7,739x = 29,547,570.11
  5. Step 5: Solve for x
    x = 29,547,570.11/7,739
  6. Step 6: Final answer
    x = 3,818.01

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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.