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Finding the Fourth Proportional to 5,601.78, 7,730.16 and 3,083.40

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Solution

The fourth proportional to 5,601.78, 7,730.16 and 3,083.40 is: 4,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.78 : 7,730.16 = 3,083.40 : x
  2. Step 2: Convert to fraction form
    5,601.78/7,730.16 = 3,083.40/x
  3. Step 3: Cross multiply
    5,601.78x = 7,730.16 × 3,083.40
  4. Step 4: Simplify right side
    5,601.78x = 23,835,159.93
  5. Step 5: Solve for x
    x = 23,835,159.93/5,601.78
  6. Step 6: Final answer
    x = 4,254.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.