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Finding the Fourth Proportional to 15,948.68, 22,009 and 8,875

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Solution

The fourth proportional to 15,948.68, 22,009 and 8,875 is: 12,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.68 : 22,009 = 8,875 : x
  2. Step 2: Convert to fraction form
    15,948.68/22,009 = 8,875/x
  3. Step 3: Cross multiply
    15,948.68x = 22,009 × 8,875
  4. Step 4: Simplify right side
    15,948.68x = 195,329,875
  5. Step 5: Solve for x
    x = 195,329,875/15,948.68
  6. Step 6: Final answer
    x = 12,247.40

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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.