Home / 1,431.05-1,980.45-1,406.75

Finding the Fourth Proportional to 1,431.05, 1,980.45 and 1,406.75

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Solution

The fourth proportional to 1,431.05, 1,980.45 and 1,406.75 is: 1,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.05 : 1,980.45 = 1,406.75 : x
  2. Step 2: Convert to fraction form
    1,431.05/1,980.45 = 1,406.75/x
  3. Step 3: Cross multiply
    1,431.05x = 1,980.45 × 1,406.75
  4. Step 4: Simplify right side
    1,431.05x = 2,785,988.14
  5. Step 5: Solve for x
    x = 2,785,988.14/1,431.05
  6. Step 6: Final answer
    x = 1,946.82

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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.