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Finding the Fourth Proportional to 1,712.83, 2,569.85 and 891.08

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Solution

The fourth proportional to 1,712.83, 2,569.85 and 891.08 is: 1,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.83 : 2,569.85 = 891.08 : x
  2. Step 2: Convert to fraction form
    1,712.83/2,569.85 = 891.08/x
  3. Step 3: Cross multiply
    1,712.83x = 2,569.85 × 891.08
  4. Step 4: Simplify right side
    1,712.83x = 2,289,937.48
  5. Step 5: Solve for x
    x = 2,289,937.48/1,712.83
  6. Step 6: Final answer
    x = 1,336.94

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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.