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Finding the Fourth Proportional to 20,875.90, 31,314 and 7,024.90

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Solution

The fourth proportional to 20,875.90, 31,314 and 7,024.90 is: 10,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.90 : 31,314 = 7,024.90 : x
  2. Step 2: Convert to fraction form
    20,875.90/31,314 = 7,024.90/x
  3. Step 3: Cross multiply
    20,875.90x = 31,314 × 7,024.90
  4. Step 4: Simplify right side
    20,875.90x = 219,977,718.60
  5. Step 5: Solve for x
    x = 219,977,718.60/20,875.90
  6. Step 6: Final answer
    x = 10,537.40

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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.