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Finding the Fourth Proportional to 1,708.75, 2,359.64 and 1,616.68

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Solution

The fourth proportional to 1,708.75, 2,359.64 and 1,616.68 is: 2,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.75 : 2,359.64 = 1,616.68 : x
  2. Step 2: Convert to fraction form
    1,708.75/2,359.64 = 1,616.68/x
  3. Step 3: Cross multiply
    1,708.75x = 2,359.64 × 1,616.68
  4. Step 4: Simplify right side
    1,708.75x = 3,814,782.80
  5. Step 5: Solve for x
    x = 3,814,782.80/1,708.75
  6. Step 6: Final answer
    x = 2,232.50

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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.