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Finding the Fourth Proportional to 21,002.50, 31,507 and 7,856.74

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Solution

The fourth proportional to 21,002.50, 31,507 and 7,856.74 is: 11,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.50 : 31,507 = 7,856.74 : x
  2. Step 2: Convert to fraction form
    21,002.50/31,507 = 7,856.74/x
  3. Step 3: Cross multiply
    21,002.50x = 31,507 × 7,856.74
  4. Step 4: Simplify right side
    21,002.50x = 247,542,307.18
  5. Step 5: Solve for x
    x = 247,542,307.18/21,002.50
  6. Step 6: Final answer
    x = 11,786.33

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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.