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Finding the Fourth Proportional to 15,546.84, 21,460.86 and 9,258

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Solution

The fourth proportional to 15,546.84, 21,460.86 and 9,258 is: 12,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.84 : 21,460.86 = 9,258 : x
  2. Step 2: Convert to fraction form
    15,546.84/21,460.86 = 9,258/x
  3. Step 3: Cross multiply
    15,546.84x = 21,460.86 × 9,258
  4. Step 4: Simplify right side
    15,546.84x = 198,684,641.88
  5. Step 5: Solve for x
    x = 198,684,641.88/15,546.84
  6. Step 6: Final answer
    x = 12,779.74

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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.