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Finding the Fourth Proportional to 9,512.25, 13,126.95 and 5,320.50

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Solution

The fourth proportional to 9,512.25, 13,126.95 and 5,320.50 is: 7,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.25 : 13,126.95 = 5,320.50 : x
  2. Step 2: Convert to fraction form
    9,512.25/13,126.95 = 5,320.50/x
  3. Step 3: Cross multiply
    9,512.25x = 13,126.95 × 5,320.50
  4. Step 4: Simplify right side
    9,512.25x = 69,841,937.48
  5. Step 5: Solve for x
    x = 69,841,937.48/9,512.25
  6. Step 6: Final answer
    x = 7,342.32

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