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Finding the Fourth Proportional to 27,289.28, 40,947.12 and 13,261.28

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Solution

The fourth proportional to 27,289.28, 40,947.12 and 13,261.28 is: 19,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,289.28 : 40,947.12 = 13,261.28 : x
  2. Step 2: Convert to fraction form
    27,289.28/40,947.12 = 13,261.28/x
  3. Step 3: Cross multiply
    27,289.28x = 40,947.12 × 13,261.28
  4. Step 4: Simplify right side
    27,289.28x = 543,011,223.51
  5. Step 5: Solve for x
    x = 543,011,223.51/27,289.28
  6. Step 6: Final answer
    x = 19,898.33

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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.