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Finding the Fourth Proportional to 2,293.78, 3,440.68 and 977.34

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Solution

The fourth proportional to 2,293.78, 3,440.68 and 977.34 is: 1,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.78 : 3,440.68 = 977.34 : x
  2. Step 2: Convert to fraction form
    2,293.78/3,440.68 = 977.34/x
  3. Step 3: Cross multiply
    2,293.78x = 3,440.68 × 977.34
  4. Step 4: Simplify right side
    2,293.78x = 3,362,714.19
  5. Step 5: Solve for x
    x = 3,362,714.19/2,293.78
  6. Step 6: Final answer
    x = 1,466.01

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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.