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Finding the Fourth Proportional to 6,484.71, 9,718.94 and 2,782.64

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Solution

The fourth proportional to 6,484.71, 9,718.94 and 2,782.64 is: 4,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.71 : 9,718.94 = 2,782.64 : x
  2. Step 2: Convert to fraction form
    6,484.71/9,718.94 = 2,782.64/x
  3. Step 3: Cross multiply
    6,484.71x = 9,718.94 × 2,782.64
  4. Step 4: Simplify right side
    6,484.71x = 27,044,248.69
  5. Step 5: Solve for x
    x = 27,044,248.69/6,484.71
  6. Step 6: Final answer
    x = 4,170.46

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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.