Home / 5,146.47-7,730.20-3,394.00

Finding the Fourth Proportional to 5,146.47, 7,730.20 and 3,394.00

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Solution

The fourth proportional to 5,146.47, 7,730.20 and 3,394.00 is: 5,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.47 : 7,730.20 = 3,394.00 : x
  2. Step 2: Convert to fraction form
    5,146.47/7,730.20 = 3,394.00/x
  3. Step 3: Cross multiply
    5,146.47x = 7,730.20 × 3,394.00
  4. Step 4: Simplify right side
    5,146.47x = 26,236,312.71
  5. Step 5: Solve for x
    x = 26,236,312.71/5,146.47
  6. Step 6: Final answer
    x = 5,097.92

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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.