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Finding the Fourth Proportional to 3,549.67, 4,898.67 and 1,977.86

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Solution

The fourth proportional to 3,549.67, 4,898.67 and 1,977.86 is: 2,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.67 : 4,898.67 = 1,977.86 : x
  2. Step 2: Convert to fraction form
    3,549.67/4,898.67 = 1,977.86/x
  3. Step 3: Cross multiply
    3,549.67x = 4,898.67 × 1,977.86
  4. Step 4: Simplify right side
    3,549.67x = 9,688,883.45
  5. Step 5: Solve for x
    x = 9,688,883.45/3,549.67
  6. Step 6: Final answer
    x = 2,729.52

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1.5x scale

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.