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Finding the Fourth Proportional to 9,874.72, 13,630.80 and 6,148

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Solution

The fourth proportional to 9,874.72, 13,630.80 and 6,148 is: 8,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.72 : 13,630.80 = 6,148 : x
  2. Step 2: Convert to fraction form
    9,874.72/13,630.80 = 6,148/x
  3. Step 3: Cross multiply
    9,874.72x = 13,630.80 × 6,148
  4. Step 4: Simplify right side
    9,874.72x = 83,802,158.40
  5. Step 5: Solve for x
    x = 83,802,158.40/9,874.72
  6. Step 6: Final answer
    x = 8,486.54

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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.