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Finding the Fourth Proportional to 1,686.71, 2,326.51 and 1,465.27

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Solution

The fourth proportional to 1,686.71, 2,326.51 and 1,465.27 is: 2,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.71 : 2,326.51 = 1,465.27 : x
  2. Step 2: Convert to fraction form
    1,686.71/2,326.51 = 1,465.27/x
  3. Step 3: Cross multiply
    1,686.71x = 2,326.51 × 1,465.27
  4. Step 4: Simplify right side
    1,686.71x = 3,408,965.31
  5. Step 5: Solve for x
    x = 3,408,965.31/1,686.71
  6. Step 6: Final answer
    x = 2,021.07

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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.