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Finding the Fourth Proportional to 2,430.84, 3,642.84 and 1,111.35

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Solution

The fourth proportional to 2,430.84, 3,642.84 and 1,111.35 is: 1,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.84 : 3,642.84 = 1,111.35 : x
  2. Step 2: Convert to fraction form
    2,430.84/3,642.84 = 1,111.35/x
  3. Step 3: Cross multiply
    2,430.84x = 3,642.84 × 1,111.35
  4. Step 4: Simplify right side
    2,430.84x = 4,048,470.23
  5. Step 5: Solve for x
    x = 4,048,470.23/2,430.84
  6. Step 6: Final answer
    x = 1,665.46

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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.