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Finding the Fourth Proportional to 1,712.99, 2,564.71 and 1,095.17

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Solution

The fourth proportional to 1,712.99, 2,564.71 and 1,095.17 is: 1,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.99 : 2,564.71 = 1,095.17 : x
  2. Step 2: Convert to fraction form
    1,712.99/2,564.71 = 1,095.17/x
  3. Step 3: Cross multiply
    1,712.99x = 2,564.71 × 1,095.17
  4. Step 4: Simplify right side
    1,712.99x = 2,808,793.45
  5. Step 5: Solve for x
    x = 2,808,793.45/1,712.99
  6. Step 6: Final answer
    x = 1,639.70

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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.