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Finding the Fourth Proportional to 9,903.80, 14,823.30 and 7,700.60

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Solution

The fourth proportional to 9,903.80, 14,823.30 and 7,700.60 is: 11,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.80 : 14,823.30 = 7,700.60 : x
  2. Step 2: Convert to fraction form
    9,903.80/14,823.30 = 7,700.60/x
  3. Step 3: Cross multiply
    9,903.80x = 14,823.30 × 7,700.60
  4. Step 4: Simplify right side
    9,903.80x = 114,148,303.98
  5. Step 5: Solve for x
    x = 114,148,303.98/9,903.80
  6. Step 6: Final answer
    x = 11,525.71

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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.