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Finding the Fourth Proportional to 26,238, 39,358.08 and 7,770

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Solution

The fourth proportional to 26,238, 39,358.08 and 7,770 is: 11,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,238 : 39,358.08 = 7,770 : x
  2. Step 2: Convert to fraction form
    26,238/39,358.08 = 7,770/x
  3. Step 3: Cross multiply
    26,238x = 39,358.08 × 7,770
  4. Step 4: Simplify right side
    26,238x = 305,812,281.60
  5. Step 5: Solve for x
    x = 305,812,281.60/26,238
  6. Step 6: Final answer
    x = 11,655.32

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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.