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Finding the Fourth Proportional to 9,710, 13,401.36 and 5,520.80

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Solution

The fourth proportional to 9,710, 13,401.36 and 5,520.80 is: 7,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 13,401.36 = 5,520.80 : x
  2. Step 2: Convert to fraction form
    9,710/13,401.36 = 5,520.80/x
  3. Step 3: Cross multiply
    9,710x = 13,401.36 × 5,520.80
  4. Step 4: Simplify right side
    9,710x = 73,986,228.29
  5. Step 5: Solve for x
    x = 73,986,228.29/9,710
  6. Step 6: Final answer
    x = 7,619.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.