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Finding the Fourth Proportional to 26,495.64, 39,747.78 and 7,776.29

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Solution

The fourth proportional to 26,495.64, 39,747.78 and 7,776.29 is: 11,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,495.64 : 39,747.78 = 7,776.29 : x
  2. Step 2: Convert to fraction form
    26,495.64/39,747.78 = 7,776.29/x
  3. Step 3: Cross multiply
    26,495.64x = 39,747.78 × 7,776.29
  4. Step 4: Simplify right side
    26,495.64x = 309,090,065.40
  5. Step 5: Solve for x
    x = 309,090,065.40/26,495.64
  6. Step 6: Final answer
    x = 11,665.70

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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.