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Finding the Fourth Proportional to 12,683.52, 19,013.76 and 7,200

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Solution

The fourth proportional to 12,683.52, 19,013.76 and 7,200 is: 10,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.52 : 19,013.76 = 7,200 : x
  2. Step 2: Convert to fraction form
    12,683.52/19,013.76 = 7,200/x
  3. Step 3: Cross multiply
    12,683.52x = 19,013.76 × 7,200
  4. Step 4: Simplify right side
    12,683.52x = 136,899,072
  5. Step 5: Solve for x
    x = 136,899,072/12,683.52
  6. Step 6: Final answer
    x = 10,793.46

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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.