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Finding the Fourth Proportional to 21,095.14, 31,642.74 and 8,615.16

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Solution

The fourth proportional to 21,095.14, 31,642.74 and 8,615.16 is: 12,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.14 : 31,642.74 = 8,615.16 : x
  2. Step 2: Convert to fraction form
    21,095.14/31,642.74 = 8,615.16/x
  3. Step 3: Cross multiply
    21,095.14x = 31,642.74 × 8,615.16
  4. Step 4: Simplify right side
    21,095.14x = 272,607,294.96
  5. Step 5: Solve for x
    x = 272,607,294.96/21,095.14
  6. Step 6: Final answer
    x = 12,922.76

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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.