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Finding the Fourth Proportional to 21,014, 31,521 and 8,702

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Solution

The fourth proportional to 21,014, 31,521 and 8,702 is: 13,053

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014 : 31,521 = 8,702 : x
  2. Step 2: Convert to fraction form
    21,014/31,521 = 8,702/x
  3. Step 3: Cross multiply
    21,014x = 31,521 × 8,702
  4. Step 4: Simplify right side
    21,014x = 274,295,742
  5. Step 5: Solve for x
    x = 274,295,742/21,014
  6. Step 6: Final answer
    x = 13,053

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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.