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Finding the Fourth Proportional to 9,963.45, 14,950.58 and 8,509.05

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Solution

The fourth proportional to 9,963.45, 14,950.58 and 8,509.05 is: 12,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.45 : 14,950.58 = 8,509.05 : x
  2. Step 2: Convert to fraction form
    9,963.45/14,950.58 = 8,509.05/x
  3. Step 3: Cross multiply
    9,963.45x = 14,950.58 × 8,509.05
  4. Step 4: Simplify right side
    9,963.45x = 127,215,190.20
  5. Step 5: Solve for x
    x = 127,215,190.20/9,963.45
  6. Step 6: Final answer
    x = 12,768.19

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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.