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Finding the Fourth Proportional to 26,298, 36,292.32 and 15,120

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Solution

The fourth proportional to 26,298, 36,292.32 and 15,120 is: 20,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 36,292.32 = 15,120 : x
  2. Step 2: Convert to fraction form
    26,298/36,292.32 = 15,120/x
  3. Step 3: Cross multiply
    26,298x = 36,292.32 × 15,120
  4. Step 4: Simplify right side
    26,298x = 548,739,878.40
  5. Step 5: Solve for x
    x = 548,739,878.40/26,298
  6. Step 6: Final answer
    x = 20,866.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.