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Finding the Fourth Proportional to 7,857.61, 11,775.68 and 4,342.41

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Solution

The fourth proportional to 7,857.61, 11,775.68 and 4,342.41 is: 6,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.61 : 11,775.68 = 4,342.41 : x
  2. Step 2: Convert to fraction form
    7,857.61/11,775.68 = 4,342.41/x
  3. Step 3: Cross multiply
    7,857.61x = 11,775.68 × 4,342.41
  4. Step 4: Simplify right side
    7,857.61x = 51,134,825.16
  5. Step 5: Solve for x
    x = 51,134,825.16/7,857.61
  6. Step 6: Final answer
    x = 6,507.68

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1.5x scale

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.