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Finding the Fourth Proportional to 11,398.64, 17,085 and 4,820.72

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Solution

The fourth proportional to 11,398.64, 17,085 and 4,820.72 is: 7,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.64 : 17,085 = 4,820.72 : x
  2. Step 2: Convert to fraction form
    11,398.64/17,085 = 4,820.72/x
  3. Step 3: Cross multiply
    11,398.64x = 17,085 × 4,820.72
  4. Step 4: Simplify right side
    11,398.64x = 82,362,001.20
  5. Step 5: Solve for x
    x = 82,362,001.20/11,398.64
  6. Step 6: Final answer
    x = 7,225.60

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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.