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Finding the Fourth Proportional to 19,021, 28,530.96 and 5,871.46

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Solution

The fourth proportional to 19,021, 28,530.96 and 5,871.46 is: 8,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,021 : 28,530.96 = 5,871.46 : x
  2. Step 2: Convert to fraction form
    19,021/28,530.96 = 5,871.46/x
  3. Step 3: Cross multiply
    19,021x = 28,530.96 × 5,871.46
  4. Step 4: Simplify right side
    19,021x = 167,518,390.40
  5. Step 5: Solve for x
    x = 167,518,390.40/19,021
  6. Step 6: Final answer
    x = 8,807.02

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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.