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Finding the Fourth Proportional to 9,978.32, 14,969.28 and 4,135.38

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Solution

The fourth proportional to 9,978.32, 14,969.28 and 4,135.38 is: 6,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.32 : 14,969.28 = 4,135.38 : x
  2. Step 2: Convert to fraction form
    9,978.32/14,969.28 = 4,135.38/x
  3. Step 3: Cross multiply
    9,978.32x = 14,969.28 × 4,135.38
  4. Step 4: Simplify right side
    9,978.32x = 61,903,661.13
  5. Step 5: Solve for x
    x = 61,903,661.13/9,978.32
  6. Step 6: Final answer
    x = 6,203.82

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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.