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Finding the Fourth Proportional to 28,080, 38,750.40 and 18,144

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Solution

The fourth proportional to 28,080, 38,750.40 and 18,144 is: 25,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,080 : 38,750.40 = 18,144 : x
  2. Step 2: Convert to fraction form
    28,080/38,750.40 = 18,144/x
  3. Step 3: Cross multiply
    28,080x = 38,750.40 × 18,144
  4. Step 4: Simplify right side
    28,080x = 703,087,257.60
  5. Step 5: Solve for x
    x = 703,087,257.60/28,080
  6. Step 6: Final answer
    x = 25,038.72

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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.