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Finding the Fourth Proportional to 6,148, 9,222 and 1,531

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Solution

The fourth proportional to 6,148, 9,222 and 1,531 is: 2,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148 : 9,222 = 1,531 : x
  2. Step 2: Convert to fraction form
    6,148/9,222 = 1,531/x
  3. Step 3: Cross multiply
    6,148x = 9,222 × 1,531
  4. Step 4: Simplify right side
    6,148x = 14,118,882
  5. Step 5: Solve for x
    x = 14,118,882/6,148
  6. Step 6: Final answer
    x = 2,296.50

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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.