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Finding the Fourth Proportional to 15,822, 21,834.20 and 8,748.08

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Solution

The fourth proportional to 15,822, 21,834.20 and 8,748.08 is: 12,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 21,834.20 = 8,748.08 : x
  2. Step 2: Convert to fraction form
    15,822/21,834.20 = 8,748.08/x
  3. Step 3: Cross multiply
    15,822x = 21,834.20 × 8,748.08
  4. Step 4: Simplify right side
    15,822x = 191,007,328.34
  5. Step 5: Solve for x
    x = 191,007,328.34/15,822
  6. Step 6: Final answer
    x = 12,072.26

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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.