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Finding the Fourth Proportional to 5,140, 7,710 and 2,358.28

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Solution

The fourth proportional to 5,140, 7,710 and 2,358.28 is: 3,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,710 = 2,358.28 : x
  2. Step 2: Convert to fraction form
    5,140/7,710 = 2,358.28/x
  3. Step 3: Cross multiply
    5,140x = 7,710 × 2,358.28
  4. Step 4: Simplify right side
    5,140x = 18,182,338.80
  5. Step 5: Solve for x
    x = 18,182,338.80/5,140
  6. Step 6: Final answer
    x = 3,537.42

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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.