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Finding the Fourth Proportional to 7,978.48, 11,010.48 and 4,442.02

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Solution

The fourth proportional to 7,978.48, 11,010.48 and 4,442.02 is: 6,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.48 : 11,010.48 = 4,442.02 : x
  2. Step 2: Convert to fraction form
    7,978.48/11,010.48 = 4,442.02/x
  3. Step 3: Cross multiply
    7,978.48x = 11,010.48 × 4,442.02
  4. Step 4: Simplify right side
    7,978.48x = 48,908,772.37
  5. Step 5: Solve for x
    x = 48,908,772.37/7,978.48
  6. Step 6: Final answer
    x = 6,130.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.