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Finding the Fourth Proportional to 6,657, 9,985.50 and 1,793

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Solution

The fourth proportional to 6,657, 9,985.50 and 1,793 is: 2,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657 : 9,985.50 = 1,793 : x
  2. Step 2: Convert to fraction form
    6,657/9,985.50 = 1,793/x
  3. Step 3: Cross multiply
    6,657x = 9,985.50 × 1,793
  4. Step 4: Simplify right side
    6,657x = 17,904,001.50
  5. Step 5: Solve for x
    x = 17,904,001.50/6,657
  6. Step 6: Final answer
    x = 2,689.50

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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.