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Finding the Fourth Proportional to 9,700.20, 14,509.80 and 8,835.12

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Solution

The fourth proportional to 9,700.20, 14,509.80 and 8,835.12 is: 13,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.20 : 14,509.80 = 8,835.12 : x
  2. Step 2: Convert to fraction form
    9,700.20/14,509.80 = 8,835.12/x
  3. Step 3: Cross multiply
    9,700.20x = 14,509.80 × 8,835.12
  4. Step 4: Simplify right side
    9,700.20x = 128,195,824.18
  5. Step 5: Solve for x
    x = 128,195,824.18/9,700.20
  6. Step 6: Final answer
    x = 13,215.79

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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.