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Finding the Fourth Proportional to 9,337.75, 12,886.23 and 5,146

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Solution

The fourth proportional to 9,337.75, 12,886.23 and 5,146 is: 7,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.75 : 12,886.23 = 5,146 : x
  2. Step 2: Convert to fraction form
    9,337.75/12,886.23 = 5,146/x
  3. Step 3: Cross multiply
    9,337.75x = 12,886.23 × 5,146
  4. Step 4: Simplify right side
    9,337.75x = 66,312,539.58
  5. Step 5: Solve for x
    x = 66,312,539.58/9,337.75
  6. Step 6: Final answer
    x = 7,101.55

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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.