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Finding the Fourth Proportional to 7,758.59, 11,617.22 and 5,298.21

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Solution

The fourth proportional to 7,758.59, 11,617.22 and 5,298.21 is: 7,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.59 : 11,617.22 = 5,298.21 : x
  2. Step 2: Convert to fraction form
    7,758.59/11,617.22 = 5,298.21/x
  3. Step 3: Cross multiply
    7,758.59x = 11,617.22 × 5,298.21
  4. Step 4: Simplify right side
    7,758.59x = 61,550,484.42
  5. Step 5: Solve for x
    x = 61,550,484.42/7,758.59
  6. Step 6: Final answer
    x = 7,933.21

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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.