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Finding the Fourth Proportional to 19,705.70, 29,549.80 and 7,222.46

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Solution

The fourth proportional to 19,705.70, 29,549.80 and 7,222.46 is: 10,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.70 : 29,549.80 = 7,222.46 : x
  2. Step 2: Convert to fraction form
    19,705.70/29,549.80 = 7,222.46/x
  3. Step 3: Cross multiply
    19,705.70x = 29,549.80 × 7,222.46
  4. Step 4: Simplify right side
    19,705.70x = 213,422,248.51
  5. Step 5: Solve for x
    x = 213,422,248.51/19,705.70
  6. Step 6: Final answer
    x = 10,830.48

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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.