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Finding the Fourth Proportional to 3,318.48, 4,978.56 and 1,010

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Solution

The fourth proportional to 3,318.48, 4,978.56 and 1,010 is: 1,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.48 : 4,978.56 = 1,010 : x
  2. Step 2: Convert to fraction form
    3,318.48/4,978.56 = 1,010/x
  3. Step 3: Cross multiply
    3,318.48x = 4,978.56 × 1,010
  4. Step 4: Simplify right side
    3,318.48x = 5,028,345.60
  5. Step 5: Solve for x
    x = 5,028,345.60/3,318.48
  6. Step 6: Final answer
    x = 1,515.26

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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.