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Finding the Fourth Proportional to 10,898.40, 16,347.76 and 2,690.40

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Solution

The fourth proportional to 10,898.40, 16,347.76 and 2,690.40 is: 4,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.40 : 16,347.76 = 2,690.40 : x
  2. Step 2: Convert to fraction form
    10,898.40/16,347.76 = 2,690.40/x
  3. Step 3: Cross multiply
    10,898.40x = 16,347.76 × 2,690.40
  4. Step 4: Simplify right side
    10,898.40x = 43,982,013.50
  5. Step 5: Solve for x
    x = 43,982,013.50/10,898.40
  6. Step 6: Final answer
    x = 4,035.64

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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.