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Finding the Fourth Proportional to 13,247.00, 19,866.10 and 5,347.47

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Solution

The fourth proportional to 13,247.00, 19,866.10 and 5,347.47 is: 8,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.00 : 19,866.10 = 5,347.47 : x
  2. Step 2: Convert to fraction form
    13,247.00/19,866.10 = 5,347.47/x
  3. Step 3: Cross multiply
    13,247.00x = 19,866.10 × 5,347.47
  4. Step 4: Simplify right side
    13,247.00x = 106,233,373.77
  5. Step 5: Solve for x
    x = 106,233,373.77/13,247.00
  6. Step 6: Final answer
    x = 8,019.43

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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.