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Finding the Fourth Proportional to 19,047.71, 28,590 and 9,193.93

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Solution

The fourth proportional to 19,047.71, 28,590 and 9,193.93 is: 13,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047.71 : 28,590 = 9,193.93 : x
  2. Step 2: Convert to fraction form
    19,047.71/28,590 = 9,193.93/x
  3. Step 3: Cross multiply
    19,047.71x = 28,590 × 9,193.93
  4. Step 4: Simplify right side
    19,047.71x = 262,854,458.70
  5. Step 5: Solve for x
    x = 262,854,458.70/19,047.71
  6. Step 6: Final answer
    x = 13,799.79

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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.