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Finding the Fourth Proportional to 15,434, 21,301.80 and 8,810

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Solution

The fourth proportional to 15,434, 21,301.80 and 8,810 is: 12,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434 : 21,301.80 = 8,810 : x
  2. Step 2: Convert to fraction form
    15,434/21,301.80 = 8,810/x
  3. Step 3: Cross multiply
    15,434x = 21,301.80 × 8,810
  4. Step 4: Simplify right side
    15,434x = 187,668,858
  5. Step 5: Solve for x
    x = 187,668,858/15,434
  6. Step 6: Final answer
    x = 12,159.44

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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.