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Finding the Fourth Proportional to 19,423.71, 29,135.58 and 8,323.20

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Solution

The fourth proportional to 19,423.71, 29,135.58 and 8,323.20 is: 12,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.71 : 29,135.58 = 8,323.20 : x
  2. Step 2: Convert to fraction form
    19,423.71/29,135.58 = 8,323.20/x
  3. Step 3: Cross multiply
    19,423.71x = 29,135.58 × 8,323.20
  4. Step 4: Simplify right side
    19,423.71x = 242,501,259.46
  5. Step 5: Solve for x
    x = 242,501,259.46/19,423.71
  6. Step 6: Final answer
    x = 12,484.81

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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.