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Finding the Fourth Proportional to 10,215, 15,322.38 and 5,294.28

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Solution

The fourth proportional to 10,215, 15,322.38 and 5,294.28 is: 7,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215 : 15,322.38 = 5,294.28 : x
  2. Step 2: Convert to fraction form
    10,215/15,322.38 = 5,294.28/x
  3. Step 3: Cross multiply
    10,215x = 15,322.38 × 5,294.28
  4. Step 4: Simplify right side
    10,215x = 81,120,969.99
  5. Step 5: Solve for x
    x = 81,120,969.99/10,215
  6. Step 6: Final answer
    x = 7,941.36

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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.