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Finding the Fourth Proportional to 15,818, 21,825.92 and 10,225.76

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Solution

The fourth proportional to 15,818, 21,825.92 and 10,225.76 is: 14,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818 : 21,825.92 = 10,225.76 : x
  2. Step 2: Convert to fraction form
    15,818/21,825.92 = 10,225.76/x
  3. Step 3: Cross multiply
    15,818x = 21,825.92 × 10,225.76
  4. Step 4: Simplify right side
    15,818x = 223,186,619.70
  5. Step 5: Solve for x
    x = 223,186,619.70/15,818
  6. Step 6: Final answer
    x = 14,109.66

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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.