Home / 1,784.08-2,462.28-1,288.32

Finding the Fourth Proportional to 1,784.08, 2,462.28 and 1,288.32

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Solution

The fourth proportional to 1,784.08, 2,462.28 and 1,288.32 is: 1,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.08 : 2,462.28 = 1,288.32 : x
  2. Step 2: Convert to fraction form
    1,784.08/2,462.28 = 1,288.32/x
  3. Step 3: Cross multiply
    1,784.08x = 2,462.28 × 1,288.32
  4. Step 4: Simplify right side
    1,784.08x = 3,172,204.57
  5. Step 5: Solve for x
    x = 3,172,204.57/1,784.08
  6. Step 6: Final answer
    x = 1,778.06

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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.