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Finding the Fourth Proportional to 1,405.78, 2,094.64 and 1,342.90

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Solution

The fourth proportional to 1,405.78, 2,094.64 and 1,342.90 is: 2,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.78 : 2,094.64 = 1,342.90 : x
  2. Step 2: Convert to fraction form
    1,405.78/2,094.64 = 1,342.90/x
  3. Step 3: Cross multiply
    1,405.78x = 2,094.64 × 1,342.90
  4. Step 4: Simplify right side
    1,405.78x = 2,812,892.06
  5. Step 5: Solve for x
    x = 2,812,892.06/1,405.78
  6. Step 6: Final answer
    x = 2,000.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.