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Finding the Fourth Proportional to 1,126.08, 1,689.12 and 911.16

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Solution

The fourth proportional to 1,126.08, 1,689.12 and 911.16 is: 1,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.08 : 1,689.12 = 911.16 : x
  2. Step 2: Convert to fraction form
    1,126.08/1,689.12 = 911.16/x
  3. Step 3: Cross multiply
    1,126.08x = 1,689.12 × 911.16
  4. Step 4: Simplify right side
    1,126.08x = 1,539,058.58
  5. Step 5: Solve for x
    x = 1,539,058.58/1,126.08
  6. Step 6: Final answer
    x = 1,366.74

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1.5x scale

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.