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Finding the Fourth Proportional to 3,417.54, 5,127.76 and 1,443.66

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Solution

The fourth proportional to 3,417.54, 5,127.76 and 1,443.66 is: 2,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.54 : 5,127.76 = 1,443.66 : x
  2. Step 2: Convert to fraction form
    3,417.54/5,127.76 = 1,443.66/x
  3. Step 3: Cross multiply
    3,417.54x = 5,127.76 × 1,443.66
  4. Step 4: Simplify right side
    3,417.54x = 7,402,742.00
  5. Step 5: Solve for x
    x = 7,402,742.00/3,417.54
  6. Step 6: Final answer
    x = 2,166.10

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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.