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Finding the Fourth Proportional to 20,478, 28,238.76 and 19,287.60

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Solution

The fourth proportional to 20,478, 28,238.76 and 19,287.60 is: 26,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478 : 28,238.76 = 19,287.60 : x
  2. Step 2: Convert to fraction form
    20,478/28,238.76 = 19,287.60/x
  3. Step 3: Cross multiply
    20,478x = 28,238.76 × 19,287.60
  4. Step 4: Simplify right side
    20,478x = 544,657,907.38
  5. Step 5: Solve for x
    x = 544,657,907.38/20,478
  6. Step 6: Final answer
    x = 26,597.22

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1.5x scale

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.