Home / 1,896.16-2,846.88-972.36

Finding the Fourth Proportional to 1,896.16, 2,846.88 and 972.36

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Solution

The fourth proportional to 1,896.16, 2,846.88 and 972.36 is: 1,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.16 : 2,846.88 = 972.36 : x
  2. Step 2: Convert to fraction form
    1,896.16/2,846.88 = 972.36/x
  3. Step 3: Cross multiply
    1,896.16x = 2,846.88 × 972.36
  4. Step 4: Simplify right side
    1,896.16x = 2,768,192.24
  5. Step 5: Solve for x
    x = 2,768,192.24/1,896.16
  6. Step 6: Final answer
    x = 1,459.89

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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.