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Finding the Fourth Proportional to 7,817.64, 10,764 and 7,384.56

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Solution

The fourth proportional to 7,817.64, 10,764 and 7,384.56 is: 10,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.64 : 10,764 = 7,384.56 : x
  2. Step 2: Convert to fraction form
    7,817.64/10,764 = 7,384.56/x
  3. Step 3: Cross multiply
    7,817.64x = 10,764 × 7,384.56
  4. Step 4: Simplify right side
    7,817.64x = 79,487,403.84
  5. Step 5: Solve for x
    x = 79,487,403.84/7,817.64
  6. Step 6: Final answer
    x = 10,167.70

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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.