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Finding the Fourth Proportional to 11,814.76, 16,303.80 and 6,509.80

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Solution

The fourth proportional to 11,814.76, 16,303.80 and 6,509.80 is: 8,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.76 : 16,303.80 = 6,509.80 : x
  2. Step 2: Convert to fraction form
    11,814.76/16,303.80 = 6,509.80/x
  3. Step 3: Cross multiply
    11,814.76x = 16,303.80 × 6,509.80
  4. Step 4: Simplify right side
    11,814.76x = 106,134,477.24
  5. Step 5: Solve for x
    x = 106,134,477.24/11,814.76
  6. Step 6: Final answer
    x = 8,983.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.