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Finding the Fourth Proportional to 19,775.83, 29,659.07 and 7,289.08

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Solution

The fourth proportional to 19,775.83, 29,659.07 and 7,289.08 is: 10,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.83 : 29,659.07 = 7,289.08 : x
  2. Step 2: Convert to fraction form
    19,775.83/29,659.07 = 7,289.08/x
  3. Step 3: Cross multiply
    19,775.83x = 29,659.07 × 7,289.08
  4. Step 4: Simplify right side
    19,775.83x = 216,187,185.66
  5. Step 5: Solve for x
    x = 216,187,185.66/19,775.83
  6. Step 6: Final answer
    x = 10,931.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.