Home / 1,417.07-2,122.83-928.64

Finding the Fourth Proportional to 1,417.07, 2,122.83 and 928.64

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Solution

The fourth proportional to 1,417.07, 2,122.83 and 928.64 is: 1,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.07 : 2,122.83 = 928.64 : x
  2. Step 2: Convert to fraction form
    1,417.07/2,122.83 = 928.64/x
  3. Step 3: Cross multiply
    1,417.07x = 2,122.83 × 928.64
  4. Step 4: Simplify right side
    1,417.07x = 1,971,334.24
  5. Step 5: Solve for x
    x = 1,971,334.24/1,417.07
  6. Step 6: Final answer
    x = 1,391.14

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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.