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Finding the Fourth Proportional to 11,281, 15,567.78 and 6,313

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Solution

The fourth proportional to 11,281, 15,567.78 and 6,313 is: 8,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281 : 15,567.78 = 6,313 : x
  2. Step 2: Convert to fraction form
    11,281/15,567.78 = 6,313/x
  3. Step 3: Cross multiply
    11,281x = 15,567.78 × 6,313
  4. Step 4: Simplify right side
    11,281x = 98,279,395.14
  5. Step 5: Solve for x
    x = 98,279,395.14/11,281
  6. Step 6: Final answer
    x = 8,711.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.