Home / 2,430.98-3,647.38-1,457.78

Finding the Fourth Proportional to 2,430.98, 3,647.38 and 1,457.78

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Solution

The fourth proportional to 2,430.98, 3,647.38 and 1,457.78 is: 2,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.98 : 3,647.38 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    2,430.98/3,647.38 = 1,457.78/x
  3. Step 3: Cross multiply
    2,430.98x = 3,647.38 × 1,457.78
  4. Step 4: Simplify right side
    2,430.98x = 5,317,077.62
  5. Step 5: Solve for x
    x = 5,317,077.62/2,430.98
  6. Step 6: Final answer
    x = 2,187.22

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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.