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Finding the Fourth Proportional to 19,770.96, 29,629.08 and 9,897.68

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Solution

The fourth proportional to 19,770.96, 29,629.08 and 9,897.68 is: 14,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.96 : 29,629.08 = 9,897.68 : x
  2. Step 2: Convert to fraction form
    19,770.96/29,629.08 = 9,897.68/x
  3. Step 3: Cross multiply
    19,770.96x = 29,629.08 × 9,897.68
  4. Step 4: Simplify right side
    19,770.96x = 293,259,152.53
  5. Step 5: Solve for x
    x = 293,259,152.53/19,770.96
  6. Step 6: Final answer
    x = 14,832.82

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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.