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Finding the Fourth Proportional to 5,313.37, 7,978.28 and 2,853

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Solution

The fourth proportional to 5,313.37, 7,978.28 and 2,853 is: 4,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.37 : 7,978.28 = 2,853 : x
  2. Step 2: Convert to fraction form
    5,313.37/7,978.28 = 2,853/x
  3. Step 3: Cross multiply
    5,313.37x = 7,978.28 × 2,853
  4. Step 4: Simplify right side
    5,313.37x = 22,762,032.84
  5. Step 5: Solve for x
    x = 22,762,032.84/5,313.37
  6. Step 6: Final answer
    x = 4,283.92

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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.