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Finding the Fourth Proportional to 15,812.51, 21,821.33 and 8,642.57

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Solution

The fourth proportional to 15,812.51, 21,821.33 and 8,642.57 is: 11,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.51 : 21,821.33 = 8,642.57 : x
  2. Step 2: Convert to fraction form
    15,812.51/21,821.33 = 8,642.57/x
  3. Step 3: Cross multiply
    15,812.51x = 21,821.33 × 8,642.57
  4. Step 4: Simplify right side
    15,812.51x = 188,592,372.02
  5. Step 5: Solve for x
    x = 188,592,372.02/15,812.51
  6. Step 6: Final answer
    x = 11,926.78

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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.