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Finding the Fourth Proportional to 9,901.80, 14,820.30 and 7,698.60

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Solution

The fourth proportional to 9,901.80, 14,820.30 and 7,698.60 is: 11,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.80 : 14,820.30 = 7,698.60 : x
  2. Step 2: Convert to fraction form
    9,901.80/14,820.30 = 7,698.60/x
  3. Step 3: Cross multiply
    9,901.80x = 14,820.30 × 7,698.60
  4. Step 4: Simplify right side
    9,901.80x = 114,095,561.58
  5. Step 5: Solve for x
    x = 114,095,561.58/9,901.80
  6. Step 6: Final answer
    x = 11,522.71

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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.