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Finding the Fourth Proportional to 6,275.64, 8,656.79 and 3,913.68

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Solution

The fourth proportional to 6,275.64, 8,656.79 and 3,913.68 is: 5,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.64 : 8,656.79 = 3,913.68 : x
  2. Step 2: Convert to fraction form
    6,275.64/8,656.79 = 3,913.68/x
  3. Step 3: Cross multiply
    6,275.64x = 8,656.79 × 3,913.68
  4. Step 4: Simplify right side
    6,275.64x = 33,879,886.32
  5. Step 5: Solve for x
    x = 33,879,886.32/6,275.64
  6. Step 6: Final answer
    x = 5,398.63

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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.