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Finding the Fourth Proportional to 19,657.65, 29,498.63 and 7,970.97

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Solution

The fourth proportional to 19,657.65, 29,498.63 and 7,970.97 is: 11,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.65 : 29,498.63 = 7,970.97 : x
  2. Step 2: Convert to fraction form
    19,657.65/29,498.63 = 7,970.97/x
  3. Step 3: Cross multiply
    19,657.65x = 29,498.63 × 7,970.97
  4. Step 4: Simplify right side
    19,657.65x = 235,132,654.92
  5. Step 5: Solve for x
    x = 235,132,654.92/19,657.65
  6. Step 6: Final answer
    x = 11,961.38

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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.