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Finding the Fourth Proportional to 12,235.17, 16,887.86 and 7,201

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Solution

The fourth proportional to 12,235.17, 16,887.86 and 7,201 is: 9,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.17 : 16,887.86 = 7,201 : x
  2. Step 2: Convert to fraction form
    12,235.17/16,887.86 = 7,201/x
  3. Step 3: Cross multiply
    12,235.17x = 16,887.86 × 7,201
  4. Step 4: Simplify right side
    12,235.17x = 121,609,479.86
  5. Step 5: Solve for x
    x = 121,609,479.86/12,235.17
  6. Step 6: Final answer
    x = 9,939.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.