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Finding the Fourth Proportional to 11,509.60, 17,264.40 and 8,593.60

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Solution

The fourth proportional to 11,509.60, 17,264.40 and 8,593.60 is: 12,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.60 : 17,264.40 = 8,593.60 : x
  2. Step 2: Convert to fraction form
    11,509.60/17,264.40 = 8,593.60/x
  3. Step 3: Cross multiply
    11,509.60x = 17,264.40 × 8,593.60
  4. Step 4: Simplify right side
    11,509.60x = 148,363,347.84
  5. Step 5: Solve for x
    x = 148,363,347.84/11,509.60
  6. Step 6: Final answer
    x = 12,890.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.