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Finding the Fourth Proportional to 9,719.40, 14,596.70 and 8,509.80

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Solution

The fourth proportional to 9,719.40, 14,596.70 and 8,509.80 is: 12,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.40 : 14,596.70 = 8,509.80 : x
  2. Step 2: Convert to fraction form
    9,719.40/14,596.70 = 8,509.80/x
  3. Step 3: Cross multiply
    9,719.40x = 14,596.70 × 8,509.80
  4. Step 4: Simplify right side
    9,719.40x = 124,214,997.66
  5. Step 5: Solve for x
    x = 124,214,997.66/9,719.40
  6. Step 6: Final answer
    x = 12,780.11

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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.