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Finding the Fourth Proportional to 5,208.79, 7,814.46 and 1,510.94

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Solution

The fourth proportional to 5,208.79, 7,814.46 and 1,510.94 is: 2,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.79 : 7,814.46 = 1,510.94 : x
  2. Step 2: Convert to fraction form
    5,208.79/7,814.46 = 1,510.94/x
  3. Step 3: Cross multiply
    5,208.79x = 7,814.46 × 1,510.94
  4. Step 4: Simplify right side
    5,208.79x = 11,807,180.19
  5. Step 5: Solve for x
    x = 11,807,180.19/5,208.79
  6. Step 6: Final answer
    x = 2,266.78

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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.