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Finding the Fourth Proportional to 26,653, 39,980.46 and 10,011.28

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Solution

The fourth proportional to 26,653, 39,980.46 and 10,011.28 is: 15,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,653 : 39,980.46 = 10,011.28 : x
  2. Step 2: Convert to fraction form
    26,653/39,980.46 = 10,011.28/x
  3. Step 3: Cross multiply
    26,653x = 39,980.46 × 10,011.28
  4. Step 4: Simplify right side
    26,653x = 400,255,579.59
  5. Step 5: Solve for x
    x = 400,255,579.59/26,653
  6. Step 6: Final answer
    x = 15,017.28

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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.