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Finding the Fourth Proportional to 2,438.31, 3,657.93 and 977.58

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Solution

The fourth proportional to 2,438.31, 3,657.93 and 977.58 is: 1,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.31 : 3,657.93 = 977.58 : x
  2. Step 2: Convert to fraction form
    2,438.31/3,657.93 = 977.58/x
  3. Step 3: Cross multiply
    2,438.31x = 3,657.93 × 977.58
  4. Step 4: Simplify right side
    2,438.31x = 3,575,905.18
  5. Step 5: Solve for x
    x = 3,575,905.18/2,438.31
  6. Step 6: Final answer
    x = 1,466.55

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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.