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Finding the Fourth Proportional to 6,553.48, 9,828.72 and 1,873.40

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Solution

The fourth proportional to 6,553.48, 9,828.72 and 1,873.40 is: 2,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.48 : 9,828.72 = 1,873.40 : x
  2. Step 2: Convert to fraction form
    6,553.48/9,828.72 = 1,873.40/x
  3. Step 3: Cross multiply
    6,553.48x = 9,828.72 × 1,873.40
  4. Step 4: Simplify right side
    6,553.48x = 18,413,124.05
  5. Step 5: Solve for x
    x = 18,413,124.05/6,553.48
  6. Step 6: Final answer
    x = 2,809.67

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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.