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Finding the Fourth Proportional to 5,130, 7,079.40 and 2,922

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Solution

The fourth proportional to 5,130, 7,079.40 and 2,922 is: 4,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130 : 7,079.40 = 2,922 : x
  2. Step 2: Convert to fraction form
    5,130/7,079.40 = 2,922/x
  3. Step 3: Cross multiply
    5,130x = 7,079.40 × 2,922
  4. Step 4: Simplify right side
    5,130x = 20,686,006.80
  5. Step 5: Solve for x
    x = 20,686,006.80/5,130
  6. Step 6: Final answer
    x = 4,032.36

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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.