Home / 1,591.24-2,196.18-970.12

Finding the Fourth Proportional to 1,591.24, 2,196.18 and 970.12

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Solution

The fourth proportional to 1,591.24, 2,196.18 and 970.12 is: 1,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.24 : 2,196.18 = 970.12 : x
  2. Step 2: Convert to fraction form
    1,591.24/2,196.18 = 970.12/x
  3. Step 3: Cross multiply
    1,591.24x = 2,196.18 × 970.12
  4. Step 4: Simplify right side
    1,591.24x = 2,130,558.14
  5. Step 5: Solve for x
    x = 2,130,558.14/1,591.24
  6. Step 6: Final answer
    x = 1,338.93

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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.