Home / 1,106.29-1,526.88-919.54

Finding the Fourth Proportional to 1,106.29, 1,526.88 and 919.54

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Solution

The fourth proportional to 1,106.29, 1,526.88 and 919.54 is: 1,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.29 : 1,526.88 = 919.54 : x
  2. Step 2: Convert to fraction form
    1,106.29/1,526.88 = 919.54/x
  3. Step 3: Cross multiply
    1,106.29x = 1,526.88 × 919.54
  4. Step 4: Simplify right side
    1,106.29x = 1,404,027.24
  5. Step 5: Solve for x
    x = 1,404,027.24/1,106.29
  6. Step 6: Final answer
    x = 1,269.13

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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.