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Finding the Fourth Proportional to 28,343, 42,514.68 and 9,875

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Solution

The fourth proportional to 28,343, 42,514.68 and 9,875 is: 14,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,343 : 42,514.68 = 9,875 : x
  2. Step 2: Convert to fraction form
    28,343/42,514.68 = 9,875/x
  3. Step 3: Cross multiply
    28,343x = 42,514.68 × 9,875
  4. Step 4: Simplify right side
    28,343x = 419,832,465
  5. Step 5: Solve for x
    x = 419,832,465/28,343
  6. Step 6: Final answer
    x = 14,812.56

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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.