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Finding the Fourth Proportional to 7,798.21, 10,772.91 and 6,748.45

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Solution

The fourth proportional to 7,798.21, 10,772.91 and 6,748.45 is: 9,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.21 : 10,772.91 = 6,748.45 : x
  2. Step 2: Convert to fraction form
    7,798.21/10,772.91 = 6,748.45/x
  3. Step 3: Cross multiply
    7,798.21x = 10,772.91 × 6,748.45
  4. Step 4: Simplify right side
    7,798.21x = 72,700,417.56
  5. Step 5: Solve for x
    x = 72,700,417.56/7,798.21
  6. Step 6: Final answer
    x = 9,322.71

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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.