Home / 2,565.12-3,848.64-1,027.20

Finding the Fourth Proportional to 2,565.12, 3,848.64 and 1,027.20

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Solution

The fourth proportional to 2,565.12, 3,848.64 and 1,027.20 is: 1,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.12 : 3,848.64 = 1,027.20 : x
  2. Step 2: Convert to fraction form
    2,565.12/3,848.64 = 1,027.20/x
  3. Step 3: Cross multiply
    2,565.12x = 3,848.64 × 1,027.20
  4. Step 4: Simplify right side
    2,565.12x = 3,953,323.01
  5. Step 5: Solve for x
    x = 3,953,323.01/2,565.12
  6. Step 6: Final answer
    x = 1,541.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.