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Finding the Fourth Proportional to 15,820.38, 21,830.40 and 10,231.38

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Solution

The fourth proportional to 15,820.38, 21,830.40 and 10,231.38 is: 14,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.38 : 21,830.40 = 10,231.38 : x
  2. Step 2: Convert to fraction form
    15,820.38/21,830.40 = 10,231.38/x
  3. Step 3: Cross multiply
    15,820.38x = 21,830.40 × 10,231.38
  4. Step 4: Simplify right side
    15,820.38x = 223,355,117.95
  5. Step 5: Solve for x
    x = 223,355,117.95/15,820.38
  6. Step 6: Final answer
    x = 14,118.19

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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.