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Finding the Fourth Proportional to 5,161.71, 7,781.45 and 4,827.63

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Solution

The fourth proportional to 5,161.71, 7,781.45 and 4,827.63 is: 7,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.71 : 7,781.45 = 4,827.63 : x
  2. Step 2: Convert to fraction form
    5,161.71/7,781.45 = 4,827.63/x
  3. Step 3: Cross multiply
    5,161.71x = 7,781.45 × 4,827.63
  4. Step 4: Simplify right side
    5,161.71x = 37,565,973.53
  5. Step 5: Solve for x
    x = 37,565,973.53/5,161.71
  6. Step 6: Final answer
    x = 7,277.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.