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Finding the Fourth Proportional to 10,099.68, 13,936.64 and 7,448.55

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Solution

The fourth proportional to 10,099.68, 13,936.64 and 7,448.55 is: 10,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.68 : 13,936.64 = 7,448.55 : x
  2. Step 2: Convert to fraction form
    10,099.68/13,936.64 = 7,448.55/x
  3. Step 3: Cross multiply
    10,099.68x = 13,936.64 × 7,448.55
  4. Step 4: Simplify right side
    10,099.68x = 103,807,722.63
  5. Step 5: Solve for x
    x = 103,807,722.63/10,099.68
  6. Step 6: Final answer
    x = 10,278.32

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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.