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Finding the Fourth Proportional to 7,699, 11,540.40 and 5,501.20

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Solution

The fourth proportional to 7,699, 11,540.40 and 5,501.20 is: 8,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699 : 11,540.40 = 5,501.20 : x
  2. Step 2: Convert to fraction form
    7,699/11,540.40 = 5,501.20/x
  3. Step 3: Cross multiply
    7,699x = 11,540.40 × 5,501.20
  4. Step 4: Simplify right side
    7,699x = 63,486,048.48
  5. Step 5: Solve for x
    x = 63,486,048.48/7,699
  6. Step 6: Final answer
    x = 8,246.01

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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.