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Finding the Fourth Proportional to 8,697.60, 13,043.76 and 2,457.12

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Solution

The fourth proportional to 8,697.60, 13,043.76 and 2,457.12 is: 3,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.60 : 13,043.76 = 2,457.12 : x
  2. Step 2: Convert to fraction form
    8,697.60/13,043.76 = 2,457.12/x
  3. Step 3: Cross multiply
    8,697.60x = 13,043.76 × 2,457.12
  4. Step 4: Simplify right side
    8,697.60x = 32,050,083.57
  5. Step 5: Solve for x
    x = 32,050,083.57/8,697.60
  6. Step 6: Final answer
    x = 3,684.93

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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.