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Finding the Fourth Proportional to 10,814.79, 14,923.80 and 6,098.79

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Solution

The fourth proportional to 10,814.79, 14,923.80 and 6,098.79 is: 8,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.79 : 14,923.80 = 6,098.79 : x
  2. Step 2: Convert to fraction form
    10,814.79/14,923.80 = 6,098.79/x
  3. Step 3: Cross multiply
    10,814.79x = 14,923.80 × 6,098.79
  4. Step 4: Simplify right side
    10,814.79x = 91,017,122.20
  5. Step 5: Solve for x
    x = 91,017,122.20/10,814.79
  6. Step 6: Final answer
    x = 8,415.99

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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.