Home / 1,782.16-2,670.36-1,457.68

Finding the Fourth Proportional to 1,782.16, 2,670.36 and 1,457.68

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Solution

The fourth proportional to 1,782.16, 2,670.36 and 1,457.68 is: 2,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.16 : 2,670.36 = 1,457.68 : x
  2. Step 2: Convert to fraction form
    1,782.16/2,670.36 = 1,457.68/x
  3. Step 3: Cross multiply
    1,782.16x = 2,670.36 × 1,457.68
  4. Step 4: Simplify right side
    1,782.16x = 3,892,530.36
  5. Step 5: Solve for x
    x = 3,892,530.36/1,782.16
  6. Step 6: Final answer
    x = 2,184.16

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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.