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Finding the Fourth Proportional to 9,898.57, 14,849.97 and 2,878.70

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Solution

The fourth proportional to 9,898.57, 14,849.97 and 2,878.70 is: 4,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.57 : 14,849.97 = 2,878.70 : x
  2. Step 2: Convert to fraction form
    9,898.57/14,849.97 = 2,878.70/x
  3. Step 3: Cross multiply
    9,898.57x = 14,849.97 × 2,878.70
  4. Step 4: Simplify right side
    9,898.57x = 42,748,608.64
  5. Step 5: Solve for x
    x = 42,748,608.64/9,898.57
  6. Step 6: Final answer
    x = 4,318.67

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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.