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Finding the Fourth Proportional to 2,095.55, 2,891.90 and 1,151.40

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Solution

The fourth proportional to 2,095.55, 2,891.90 and 1,151.40 is: 1,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.55 : 2,891.90 = 1,151.40 : x
  2. Step 2: Convert to fraction form
    2,095.55/2,891.90 = 1,151.40/x
  3. Step 3: Cross multiply
    2,095.55x = 2,891.90 × 1,151.40
  4. Step 4: Simplify right side
    2,095.55x = 3,329,733.28
  5. Step 5: Solve for x
    x = 3,329,733.28/2,095.55
  6. Step 6: Final answer
    x = 1,588.96

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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.