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Finding the Fourth Proportional to 27,478.40, 41,203.80 and 13,439.48

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Solution

The fourth proportional to 27,478.40, 41,203.80 and 13,439.48 is: 20,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.40 : 41,203.80 = 13,439.48 : x
  2. Step 2: Convert to fraction form
    27,478.40/41,203.80 = 13,439.48/x
  3. Step 3: Cross multiply
    27,478.40x = 41,203.80 × 13,439.48
  4. Step 4: Simplify right side
    27,478.40x = 553,757,646.02
  5. Step 5: Solve for x
    x = 553,757,646.02/27,478.40
  6. Step 6: Final answer
    x = 20,152.47

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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.