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Finding the Fourth Proportional to 9,342.16, 13,978.68 and 7,683.28

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Solution

The fourth proportional to 9,342.16, 13,978.68 and 7,683.28 is: 11,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.16 : 13,978.68 = 7,683.28 : x
  2. Step 2: Convert to fraction form
    9,342.16/13,978.68 = 7,683.28/x
  3. Step 3: Cross multiply
    9,342.16x = 13,978.68 × 7,683.28
  4. Step 4: Simplify right side
    9,342.16x = 107,402,112.47
  5. Step 5: Solve for x
    x = 107,402,112.47/9,342.16
  6. Step 6: Final answer
    x = 11,496.50

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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.