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Finding the Fourth Proportional to 1,600.84, 2,208.78 and 971.35

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Solution

The fourth proportional to 1,600.84, 2,208.78 and 971.35 is: 1,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.84 : 2,208.78 = 971.35 : x
  2. Step 2: Convert to fraction form
    1,600.84/2,208.78 = 971.35/x
  3. Step 3: Cross multiply
    1,600.84x = 2,208.78 × 971.35
  4. Step 4: Simplify right side
    1,600.84x = 2,145,495.11
  5. Step 5: Solve for x
    x = 2,145,495.11/1,600.84
  6. Step 6: Final answer
    x = 1,340.23

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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.