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Finding the Fourth Proportional to 4,894.02, 7,348.32 and 1,978.02

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Solution

The fourth proportional to 4,894.02, 7,348.32 and 1,978.02 is: 2,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.02 : 7,348.32 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    4,894.02/7,348.32 = 1,978.02/x
  3. Step 3: Cross multiply
    4,894.02x = 7,348.32 × 1,978.02
  4. Step 4: Simplify right side
    4,894.02x = 14,535,123.93
  5. Step 5: Solve for x
    x = 14,535,123.93/4,894.02
  6. Step 6: Final answer
    x = 2,969.98

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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.