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Finding the Fourth Proportional to 1,980.09, 2,970.02 and 747.35

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Solution

The fourth proportional to 1,980.09, 2,970.02 and 747.35 is: 1,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.09 : 2,970.02 = 747.35 : x
  2. Step 2: Convert to fraction form
    1,980.09/2,970.02 = 747.35/x
  3. Step 3: Cross multiply
    1,980.09x = 2,970.02 × 747.35
  4. Step 4: Simplify right side
    1,980.09x = 2,219,625.86
  5. Step 5: Solve for x
    x = 2,219,625.86/1,980.09
  6. Step 6: Final answer
    x = 1,120.97

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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.