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Finding the Fourth Proportional to 10,318, 15,479.56 and 3,022

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Solution

The fourth proportional to 10,318, 15,479.56 and 3,022 is: 4,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 15,479.56 = 3,022 : x
  2. Step 2: Convert to fraction form
    10,318/15,479.56 = 3,022/x
  3. Step 3: Cross multiply
    10,318x = 15,479.56 × 3,022
  4. Step 4: Simplify right side
    10,318x = 46,779,230.32
  5. Step 5: Solve for x
    x = 46,779,230.32/10,318
  6. Step 6: Final answer
    x = 4,533.75

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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.