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Finding the Fourth Proportional to 13,037.68, 17,991.66 and 7,448.68

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Solution

The fourth proportional to 13,037.68, 17,991.66 and 7,448.68 is: 10,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.68 : 17,991.66 = 7,448.68 : x
  2. Step 2: Convert to fraction form
    13,037.68/17,991.66 = 7,448.68/x
  3. Step 3: Cross multiply
    13,037.68x = 17,991.66 × 7,448.68
  4. Step 4: Simplify right side
    13,037.68x = 134,014,118.01
  5. Step 5: Solve for x
    x = 134,014,118.01/13,037.68
  6. Step 6: Final answer
    x = 10,278.99

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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.