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Finding the Fourth Proportional to 10,570.95, 15,849.99 and 7,280.42

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Solution

The fourth proportional to 10,570.95, 15,849.99 and 7,280.42 is: 10,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.95 : 15,849.99 = 7,280.42 : x
  2. Step 2: Convert to fraction form
    10,570.95/15,849.99 = 7,280.42/x
  3. Step 3: Cross multiply
    10,570.95x = 15,849.99 × 7,280.42
  4. Step 4: Simplify right side
    10,570.95x = 115,394,504.95
  5. Step 5: Solve for x
    x = 115,394,504.95/10,570.95
  6. Step 6: Final answer
    x = 10,916.19

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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.