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Finding the Fourth Proportional to 21,143, 31,714.76 and 10,050.76

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Solution

The fourth proportional to 21,143, 31,714.76 and 10,050.76 is: 15,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143 : 31,714.76 = 10,050.76 : x
  2. Step 2: Convert to fraction form
    21,143/31,714.76 = 10,050.76/x
  3. Step 3: Cross multiply
    21,143x = 31,714.76 × 10,050.76
  4. Step 4: Simplify right side
    21,143x = 318,757,441.22
  5. Step 5: Solve for x
    x = 318,757,441.22/21,143
  6. Step 6: Final answer
    x = 15,076.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.