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Finding the Fourth Proportional to 2,688.64, 4,033.06 and 741.00

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Solution

The fourth proportional to 2,688.64, 4,033.06 and 741.00 is: 1,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.64 : 4,033.06 = 741.00 : x
  2. Step 2: Convert to fraction form
    2,688.64/4,033.06 = 741.00/x
  3. Step 3: Cross multiply
    2,688.64x = 4,033.06 × 741.00
  4. Step 4: Simplify right side
    2,688.64x = 2,988,477.29
  5. Step 5: Solve for x
    x = 2,988,477.29/2,688.64
  6. Step 6: Final answer
    x = 1,111.52

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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.