Home / 1,686.40-2,327.48-1,023.64

Finding the Fourth Proportional to 1,686.40, 2,327.48 and 1,023.64

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Solution

The fourth proportional to 1,686.40, 2,327.48 and 1,023.64 is: 1,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.40 : 2,327.48 = 1,023.64 : x
  2. Step 2: Convert to fraction form
    1,686.40/2,327.48 = 1,023.64/x
  3. Step 3: Cross multiply
    1,686.40x = 2,327.48 × 1,023.64
  4. Step 4: Simplify right side
    1,686.40x = 2,382,501.63
  5. Step 5: Solve for x
    x = 2,382,501.63/1,686.40
  6. Step 6: Final answer
    x = 1,412.77

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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.