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Finding the Fourth Proportional to 12,543.24, 18,794.18 and 9,762.90

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Solution

The fourth proportional to 12,543.24, 18,794.18 and 9,762.90 is: 14,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.24 : 18,794.18 = 9,762.90 : x
  2. Step 2: Convert to fraction form
    12,543.24/18,794.18 = 9,762.90/x
  3. Step 3: Cross multiply
    12,543.24x = 18,794.18 × 9,762.90
  4. Step 4: Simplify right side
    12,543.24x = 183,485,699.92
  5. Step 5: Solve for x
    x = 183,485,699.92/12,543.24
  6. Step 6: Final answer
    x = 14,628.25

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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.