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Finding the Fourth Proportional to 10,195.98, 15,283.64 and 6,909.40

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Solution

The fourth proportional to 10,195.98, 15,283.64 and 6,909.40 is: 10,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.98 : 15,283.64 = 6,909.40 : x
  2. Step 2: Convert to fraction form
    10,195.98/15,283.64 = 6,909.40/x
  3. Step 3: Cross multiply
    10,195.98x = 15,283.64 × 6,909.40
  4. Step 4: Simplify right side
    10,195.98x = 105,600,747.67
  5. Step 5: Solve for x
    x = 105,600,747.67/10,195.98
  6. Step 6: Final answer
    x = 10,357.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.