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Finding the Fourth Proportional to 19,135.98, 28,706.94 and 9,770.93

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Solution

The fourth proportional to 19,135.98, 28,706.94 and 9,770.93 is: 14,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,135.98 : 28,706.94 = 9,770.93 : x
  2. Step 2: Convert to fraction form
    19,135.98/28,706.94 = 9,770.93/x
  3. Step 3: Cross multiply
    19,135.98x = 28,706.94 × 9,770.93
  4. Step 4: Simplify right side
    19,135.98x = 280,493,465.37
  5. Step 5: Solve for x
    x = 280,493,465.37/19,135.98
  6. Step 6: Final answer
    x = 14,657.91

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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.