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Finding the Fourth Proportional to 20,730, 31,095 and 7,575.20

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Solution

The fourth proportional to 20,730, 31,095 and 7,575.20 is: 11,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730 : 31,095 = 7,575.20 : x
  2. Step 2: Convert to fraction form
    20,730/31,095 = 7,575.20/x
  3. Step 3: Cross multiply
    20,730x = 31,095 × 7,575.20
  4. Step 4: Simplify right side
    20,730x = 235,550,844
  5. Step 5: Solve for x
    x = 235,550,844/20,730
  6. Step 6: Final answer
    x = 11,362.80

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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.