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Finding the Fourth Proportional to 15,345, 23,019.60 and 5,482.08

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Solution

The fourth proportional to 15,345, 23,019.60 and 5,482.08 is: 8,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345 : 23,019.60 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    15,345/23,019.60 = 5,482.08/x
  3. Step 3: Cross multiply
    15,345x = 23,019.60 × 5,482.08
  4. Step 4: Simplify right side
    15,345x = 126,195,288.77
  5. Step 5: Solve for x
    x = 126,195,288.77/15,345
  6. Step 6: Final answer
    x = 8,223.87

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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.