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Finding the Fourth Proportional to 2,293.61, 3,440.09 and 977.90

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Solution

The fourth proportional to 2,293.61, 3,440.09 and 977.90 is: 1,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.61 : 3,440.09 = 977.90 : x
  2. Step 2: Convert to fraction form
    2,293.61/3,440.09 = 977.90/x
  3. Step 3: Cross multiply
    2,293.61x = 3,440.09 × 977.90
  4. Step 4: Simplify right side
    2,293.61x = 3,364,041.92
  5. Step 5: Solve for x
    x = 3,364,041.92/2,293.61
  6. Step 6: Final answer
    x = 1,466.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.