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Finding the Fourth Proportional to 7,812, 10,780.56 and 5,824.26

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Solution

The fourth proportional to 7,812, 10,780.56 and 5,824.26 is: 8,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 10,780.56 = 5,824.26 : x
  2. Step 2: Convert to fraction form
    7,812/10,780.56 = 5,824.26/x
  3. Step 3: Cross multiply
    7,812x = 10,780.56 × 5,824.26
  4. Step 4: Simplify right side
    7,812x = 62,788,784.39
  5. Step 5: Solve for x
    x = 62,788,784.39/7,812
  6. Step 6: Final answer
    x = 8,037.48

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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.