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Finding the Fourth Proportional to 7,884, 10,879.92 and 4,572

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Solution

The fourth proportional to 7,884, 10,879.92 and 4,572 is: 6,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 10,879.92 = 4,572 : x
  2. Step 2: Convert to fraction form
    7,884/10,879.92 = 4,572/x
  3. Step 3: Cross multiply
    7,884x = 10,879.92 × 4,572
  4. Step 4: Simplify right side
    7,884x = 49,742,994.24
  5. Step 5: Solve for x
    x = 49,742,994.24/7,884
  6. Step 6: Final answer
    x = 6,309.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.