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Finding the Fourth Proportional to 7,830.52, 10,806 and 4,293.76

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Solution

The fourth proportional to 7,830.52, 10,806 and 4,293.76 is: 5,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.52 : 10,806 = 4,293.76 : x
  2. Step 2: Convert to fraction form
    7,830.52/10,806 = 4,293.76/x
  3. Step 3: Cross multiply
    7,830.52x = 10,806 × 4,293.76
  4. Step 4: Simplify right side
    7,830.52x = 46,398,370.56
  5. Step 5: Solve for x
    x = 46,398,370.56/7,830.52
  6. Step 6: Final answer
    x = 5,925.32

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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.