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Finding the Fourth Proportional to 18,705, 28,057.50 and 9,471

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Solution

The fourth proportional to 18,705, 28,057.50 and 9,471 is: 14,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705 : 28,057.50 = 9,471 : x
  2. Step 2: Convert to fraction form
    18,705/28,057.50 = 9,471/x
  3. Step 3: Cross multiply
    18,705x = 28,057.50 × 9,471
  4. Step 4: Simplify right side
    18,705x = 265,732,582.50
  5. Step 5: Solve for x
    x = 265,732,582.50/18,705
  6. Step 6: Final answer
    x = 14,206.50

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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.