Home / 2,117.99-3,178.38-947.60

Finding the Fourth Proportional to 2,117.99, 3,178.38 and 947.60

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Solution

The fourth proportional to 2,117.99, 3,178.38 and 947.60 is: 1,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.99 : 3,178.38 = 947.60 : x
  2. Step 2: Convert to fraction form
    2,117.99/3,178.38 = 947.60/x
  3. Step 3: Cross multiply
    2,117.99x = 3,178.38 × 947.60
  4. Step 4: Simplify right side
    2,117.99x = 3,011,817.00
  5. Step 5: Solve for x
    x = 3,011,817.00/2,117.99
  6. Step 6: Final answer
    x = 1,422.02

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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.