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Finding the Fourth Proportional to 11,565, 17,352.78 and 5,638.62

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Solution

The fourth proportional to 11,565, 17,352.78 and 5,638.62 is: 8,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 17,352.78 = 5,638.62 : x
  2. Step 2: Convert to fraction form
    11,565/17,352.78 = 5,638.62/x
  3. Step 3: Cross multiply
    11,565x = 17,352.78 × 5,638.62
  4. Step 4: Simplify right side
    11,565x = 97,845,732.36
  5. Step 5: Solve for x
    x = 97,845,732.36/11,565
  6. Step 6: Final answer
    x = 8,460.50

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1.5x scale

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.