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Finding the Fourth Proportional to 9,901.90, 13,664.64 and 5,424.94

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Solution

The fourth proportional to 9,901.90, 13,664.64 and 5,424.94 is: 7,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.90 : 13,664.64 = 5,424.94 : x
  2. Step 2: Convert to fraction form
    9,901.90/13,664.64 = 5,424.94/x
  3. Step 3: Cross multiply
    9,901.90x = 13,664.64 × 5,424.94
  4. Step 4: Simplify right side
    9,901.90x = 74,129,852.12
  5. Step 5: Solve for x
    x = 74,129,852.12/9,901.90
  6. Step 6: Final answer
    x = 7,486.43

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1.5x scale

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.