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Finding the Fourth Proportional to 5,784.71, 8,678.48 and 1,889.01

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Solution

The fourth proportional to 5,784.71, 8,678.48 and 1,889.01 is: 2,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.71 : 8,678.48 = 1,889.01 : x
  2. Step 2: Convert to fraction form
    5,784.71/8,678.48 = 1,889.01/x
  3. Step 3: Cross multiply
    5,784.71x = 8,678.48 × 1,889.01
  4. Step 4: Simplify right side
    5,784.71x = 16,393,726.06
  5. Step 5: Solve for x
    x = 16,393,726.06/5,784.71
  6. Step 6: Final answer
    x = 2,833.98

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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.