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Finding the Fourth Proportional to 7,151, 10,730.16 and 3,407.01

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Solution

The fourth proportional to 7,151, 10,730.16 and 3,407.01 is: 5,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151 : 10,730.16 = 3,407.01 : x
  2. Step 2: Convert to fraction form
    7,151/10,730.16 = 3,407.01/x
  3. Step 3: Cross multiply
    7,151x = 10,730.16 × 3,407.01
  4. Step 4: Simplify right side
    7,151x = 36,557,762.42
  5. Step 5: Solve for x
    x = 36,557,762.42/7,151
  6. Step 6: Final answer
    x = 5,112.26

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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.