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Finding the Fourth Proportional to 4,905.78, 7,359.95 and 2,970.42

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Solution

The fourth proportional to 4,905.78, 7,359.95 and 2,970.42 is: 4,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.78 : 7,359.95 = 2,970.42 : x
  2. Step 2: Convert to fraction form
    4,905.78/7,359.95 = 2,970.42/x
  3. Step 3: Cross multiply
    4,905.78x = 7,359.95 × 2,970.42
  4. Step 4: Simplify right side
    4,905.78x = 21,862,142.68
  5. Step 5: Solve for x
    x = 21,862,142.68/4,905.78
  6. Step 6: Final answer
    x = 4,456.41

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1.5x scale

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.