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Finding the Fourth Proportional to 2,710.59, 4,063.44 and 978

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Solution

The fourth proportional to 2,710.59, 4,063.44 and 978 is: 1,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.59 : 4,063.44 = 978 : x
  2. Step 2: Convert to fraction form
    2,710.59/4,063.44 = 978/x
  3. Step 3: Cross multiply
    2,710.59x = 4,063.44 × 978
  4. Step 4: Simplify right side
    2,710.59x = 3,974,044.32
  5. Step 5: Solve for x
    x = 3,974,044.32/2,710.59
  6. Step 6: Final answer
    x = 1,466.12

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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.