Home / 2,565.60-3,538.32-2,005.20

Finding the Fourth Proportional to 2,565.60, 3,538.32 and 2,005.20

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Solution

The fourth proportional to 2,565.60, 3,538.32 and 2,005.20 is: 2,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.60 : 3,538.32 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    2,565.60/3,538.32 = 2,005.20/x
  3. Step 3: Cross multiply
    2,565.60x = 3,538.32 × 2,005.20
  4. Step 4: Simplify right side
    2,565.60x = 7,095,039.26
  5. Step 5: Solve for x
    x = 7,095,039.26/2,565.60
  6. Step 6: Final answer
    x = 2,765.45

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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.