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Finding the Fourth Proportional to 2,102.78, 2,901.90 and 1,158.63

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Solution

The fourth proportional to 2,102.78, 2,901.90 and 1,158.63 is: 1,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.78 : 2,901.90 = 1,158.63 : x
  2. Step 2: Convert to fraction form
    2,102.78/2,901.90 = 1,158.63/x
  3. Step 3: Cross multiply
    2,102.78x = 2,901.90 × 1,158.63
  4. Step 4: Simplify right side
    2,102.78x = 3,362,228.40
  5. Step 5: Solve for x
    x = 3,362,228.40/2,102.78
  6. Step 6: Final answer
    x = 1,598.94

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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.