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Finding the Fourth Proportional to 2,047.70, 3,071.51 and 661.14

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Solution

The fourth proportional to 2,047.70, 3,071.51 and 661.14 is: 991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.70 : 3,071.51 = 661.14 : x
  2. Step 2: Convert to fraction form
    2,047.70/3,071.51 = 661.14/x
  3. Step 3: Cross multiply
    2,047.70x = 3,071.51 × 661.14
  4. Step 4: Simplify right side
    2,047.70x = 2,030,698.12
  5. Step 5: Solve for x
    x = 2,030,698.12/2,047.70
  6. Step 6: Final answer
    x = 991.70

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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.