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Finding the Fourth Proportional to 7,776.59, 11,665.47 and 2,229.89

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Solution

The fourth proportional to 7,776.59, 11,665.47 and 2,229.89 is: 3,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.59 : 11,665.47 = 2,229.89 : x
  2. Step 2: Convert to fraction form
    7,776.59/11,665.47 = 2,229.89/x
  3. Step 3: Cross multiply
    7,776.59x = 11,665.47 × 2,229.89
  4. Step 4: Simplify right side
    7,776.59x = 26,012,714.90
  5. Step 5: Solve for x
    x = 26,012,714.90/7,776.59
  6. Step 6: Final answer
    x = 3,345.00

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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.