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Finding the Fourth Proportional to 7,428, 10,250.64 and 4,284.66

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Solution

The fourth proportional to 7,428, 10,250.64 and 4,284.66 is: 5,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 10,250.64 = 4,284.66 : x
  2. Step 2: Convert to fraction form
    7,428/10,250.64 = 4,284.66/x
  3. Step 3: Cross multiply
    7,428x = 10,250.64 × 4,284.66
  4. Step 4: Simplify right side
    7,428x = 43,920,507.18
  5. Step 5: Solve for x
    x = 43,920,507.18/7,428
  6. Step 6: Final answer
    x = 5,912.83

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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.