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Finding the Fourth Proportional to 10,854.70, 14,978.01 and 6,316.14

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Solution

The fourth proportional to 10,854.70, 14,978.01 and 6,316.14 is: 8,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.70 : 14,978.01 = 6,316.14 : x
  2. Step 2: Convert to fraction form
    10,854.70/14,978.01 = 6,316.14/x
  3. Step 3: Cross multiply
    10,854.70x = 14,978.01 × 6,316.14
  4. Step 4: Simplify right side
    10,854.70x = 94,603,208.08
  5. Step 5: Solve for x
    x = 94,603,208.08/10,854.70
  6. Step 6: Final answer
    x = 8,715.41

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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.