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Finding the Fourth Proportional to 3,602.52, 4,969.71 and 2,407.79

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Solution

The fourth proportional to 3,602.52, 4,969.71 and 2,407.79 is: 3,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.52 : 4,969.71 = 2,407.79 : x
  2. Step 2: Convert to fraction form
    3,602.52/4,969.71 = 2,407.79/x
  3. Step 3: Cross multiply
    3,602.52x = 4,969.71 × 2,407.79
  4. Step 4: Simplify right side
    3,602.52x = 11,966,030.47
  5. Step 5: Solve for x
    x = 11,966,030.47/3,602.52
  6. Step 6: Final answer
    x = 3,321.57

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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.