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Finding the Fourth Proportional to 21,106.32, 31,671 and 7,070.64

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Solution

The fourth proportional to 21,106.32, 31,671 and 7,070.64 is: 10,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.32 : 31,671 = 7,070.64 : x
  2. Step 2: Convert to fraction form
    21,106.32/31,671 = 7,070.64/x
  3. Step 3: Cross multiply
    21,106.32x = 31,671 × 7,070.64
  4. Step 4: Simplify right side
    21,106.32x = 223,934,239.44
  5. Step 5: Solve for x
    x = 223,934,239.44/21,106.32
  6. Step 6: Final answer
    x = 10,609.82

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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.