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Finding the Fourth Proportional to 6,345.71, 9,518.56 and 1,963.07

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Solution

The fourth proportional to 6,345.71, 9,518.56 and 1,963.07 is: 2,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.71 : 9,518.56 = 1,963.07 : x
  2. Step 2: Convert to fraction form
    6,345.71/9,518.56 = 1,963.07/x
  3. Step 3: Cross multiply
    6,345.71x = 9,518.56 × 1,963.07
  4. Step 4: Simplify right side
    6,345.71x = 18,685,599.58
  5. Step 5: Solve for x
    x = 18,685,599.58/6,345.71
  6. Step 6: Final answer
    x = 2,944.60

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1.5x scale

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.