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Finding the Fourth Proportional to 11,478.70, 17,203.70 and 4,897.20

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Solution

The fourth proportional to 11,478.70, 17,203.70 and 4,897.20 is: 7,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.70 : 17,203.70 = 4,897.20 : x
  2. Step 2: Convert to fraction form
    11,478.70/17,203.70 = 4,897.20/x
  3. Step 3: Cross multiply
    11,478.70x = 17,203.70 × 4,897.20
  4. Step 4: Simplify right side
    11,478.70x = 84,249,959.64
  5. Step 5: Solve for x
    x = 84,249,959.64/11,478.70
  6. Step 6: Final answer
    x = 7,339.68

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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.