Home / 3,102.32-4,650.12-1,457.84

Finding the Fourth Proportional to 3,102.32, 4,650.12 and 1,457.84

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Solution

The fourth proportional to 3,102.32, 4,650.12 and 1,457.84 is: 2,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.32 : 4,650.12 = 1,457.84 : x
  2. Step 2: Convert to fraction form
    3,102.32/4,650.12 = 1,457.84/x
  3. Step 3: Cross multiply
    3,102.32x = 4,650.12 × 1,457.84
  4. Step 4: Simplify right side
    3,102.32x = 6,779,130.94
  5. Step 5: Solve for x
    x = 6,779,130.94/3,102.32
  6. Step 6: Final answer
    x = 2,185.18

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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.