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Finding the Fourth Proportional to 10,289, 15,435.42 and 4,817

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Solution

The fourth proportional to 10,289, 15,435.42 and 4,817 is: 7,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 15,435.42 = 4,817 : x
  2. Step 2: Convert to fraction form
    10,289/15,435.42 = 4,817/x
  3. Step 3: Cross multiply
    10,289x = 15,435.42 × 4,817
  4. Step 4: Simplify right side
    10,289x = 74,352,418.14
  5. Step 5: Solve for x
    x = 74,352,418.14/10,289
  6. Step 6: Final answer
    x = 7,226.40

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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.