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Finding the Fourth Proportional to 10,210, 15,314.88 and 5,289.28

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Solution

The fourth proportional to 10,210, 15,314.88 and 5,289.28 is: 7,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210 : 15,314.88 = 5,289.28 : x
  2. Step 2: Convert to fraction form
    10,210/15,314.88 = 5,289.28/x
  3. Step 3: Cross multiply
    10,210x = 15,314.88 × 5,289.28
  4. Step 4: Simplify right side
    10,210x = 81,004,688.49
  5. Step 5: Solve for x
    x = 81,004,688.49/10,210
  6. Step 6: Final answer
    x = 7,933.86

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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.