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Finding the Fourth Proportional to 13,119.76, 19,681.02 and 4,800.52

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Solution

The fourth proportional to 13,119.76, 19,681.02 and 4,800.52 is: 7,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.76 : 19,681.02 = 4,800.52 : x
  2. Step 2: Convert to fraction form
    13,119.76/19,681.02 = 4,800.52/x
  3. Step 3: Cross multiply
    13,119.76x = 19,681.02 × 4,800.52
  4. Step 4: Simplify right side
    13,119.76x = 94,479,031.73
  5. Step 5: Solve for x
    x = 94,479,031.73/13,119.76
  6. Step 6: Final answer
    x = 7,201.28

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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.