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Finding the Fourth Proportional to 4,642.71, 6,965.07 and 1,869.47

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Solution

The fourth proportional to 4,642.71, 6,965.07 and 1,869.47 is: 2,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.71 : 6,965.07 = 1,869.47 : x
  2. Step 2: Convert to fraction form
    4,642.71/6,965.07 = 1,869.47/x
  3. Step 3: Cross multiply
    4,642.71x = 6,965.07 × 1,869.47
  4. Step 4: Simplify right side
    4,642.71x = 13,020,989.41
  5. Step 5: Solve for x
    x = 13,020,989.41/4,642.71
  6. Step 6: Final answer
    x = 2,804.61

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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.