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Finding the Fourth Proportional to 35,779.68, 49,378.98 and 19,867.20

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Solution

The fourth proportional to 35,779.68, 49,378.98 and 19,867.20 is: 27,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,779.68 : 49,378.98 = 19,867.20 : x
  2. Step 2: Convert to fraction form
    35,779.68/49,378.98 = 19,867.20/x
  3. Step 3: Cross multiply
    35,779.68x = 49,378.98 × 19,867.20
  4. Step 4: Simplify right side
    35,779.68x = 981,022,071.46
  5. Step 5: Solve for x
    x = 981,022,071.46/35,779.68
  6. Step 6: Final answer
    x = 27,418.41

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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.