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Finding the Fourth Proportional to 12,289.24, 18,423.42 and 5,719.24

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Solution

The fourth proportional to 12,289.24, 18,423.42 and 5,719.24 is: 8,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.24 : 18,423.42 = 5,719.24 : x
  2. Step 2: Convert to fraction form
    12,289.24/18,423.42 = 5,719.24/x
  3. Step 3: Cross multiply
    12,289.24x = 18,423.42 × 5,719.24
  4. Step 4: Simplify right side
    12,289.24x = 105,367,960.60
  5. Step 5: Solve for x
    x = 105,367,960.60/12,289.24
  6. Step 6: Final answer
    x = 8,574.00

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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.