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Finding the Fourth Proportional to 35,875.68, 49,509 and 19,960.80

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Solution

The fourth proportional to 35,875.68, 49,509 and 19,960.80 is: 27,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,875.68 : 49,509 = 19,960.80 : x
  2. Step 2: Convert to fraction form
    35,875.68/49,509 = 19,960.80/x
  3. Step 3: Cross multiply
    35,875.68x = 49,509 × 19,960.80
  4. Step 4: Simplify right side
    35,875.68x = 988,239,247.20
  5. Step 5: Solve for x
    x = 988,239,247.20/35,875.68
  6. Step 6: Final answer
    x = 27,546.22

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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.