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Finding the Fourth Proportional to 2,602.19, 3,901.01 and 1,140.86

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Solution

The fourth proportional to 2,602.19, 3,901.01 and 1,140.86 is: 1,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.19 : 3,901.01 = 1,140.86 : x
  2. Step 2: Convert to fraction form
    2,602.19/3,901.01 = 1,140.86/x
  3. Step 3: Cross multiply
    2,602.19x = 3,901.01 × 1,140.86
  4. Step 4: Simplify right side
    2,602.19x = 4,450,481.06
  5. Step 5: Solve for x
    x = 4,450,481.06/2,602.19
  6. Step 6: Final answer
    x = 1,710.29

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1.5x scale

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.