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Finding the Fourth Proportional to 26,178, 39,259.08 and 8,652.48

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Solution

The fourth proportional to 26,178, 39,259.08 and 8,652.48 is: 12,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178 : 39,259.08 = 8,652.48 : x
  2. Step 2: Convert to fraction form
    26,178/39,259.08 = 8,652.48/x
  3. Step 3: Cross multiply
    26,178x = 39,259.08 × 8,652.48
  4. Step 4: Simplify right side
    26,178x = 339,688,404.52
  5. Step 5: Solve for x
    x = 339,688,404.52/26,178
  6. Step 6: Final answer
    x = 12,976.10

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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.