Home / 5,298-7,946.64-2,177.20

Finding the Fourth Proportional to 5,298, 7,946.64 and 2,177.20

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Solution

The fourth proportional to 5,298, 7,946.64 and 2,177.20 is: 3,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 7,946.64 = 2,177.20 : x
  2. Step 2: Convert to fraction form
    5,298/7,946.64 = 2,177.20/x
  3. Step 3: Cross multiply
    5,298x = 7,946.64 × 2,177.20
  4. Step 4: Simplify right side
    5,298x = 17,301,424.61
  5. Step 5: Solve for x
    x = 17,301,424.61/5,298
  6. Step 6: Final answer
    x = 3,265.65

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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.