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Finding the Fourth Proportional to 8,938.70, 13,409.30 and 2,698.01

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Solution

The fourth proportional to 8,938.70, 13,409.30 and 2,698.01 is: 4,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.70 : 13,409.30 = 2,698.01 : x
  2. Step 2: Convert to fraction form
    8,938.70/13,409.30 = 2,698.01/x
  3. Step 3: Cross multiply
    8,938.70x = 13,409.30 × 2,698.01
  4. Step 4: Simplify right side
    8,938.70x = 36,178,400.30
  5. Step 5: Solve for x
    x = 36,178,400.30/8,938.70
  6. Step 6: Final answer
    x = 4,047.39

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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.