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Finding the Fourth Proportional to 7,757.61, 11,583.72 and 7,547.42

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Solution

The fourth proportional to 7,757.61, 11,583.72 and 7,547.42 is: 11,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.61 : 11,583.72 = 7,547.42 : x
  2. Step 2: Convert to fraction form
    7,757.61/11,583.72 = 7,547.42/x
  3. Step 3: Cross multiply
    7,757.61x = 11,583.72 × 7,547.42
  4. Step 4: Simplify right side
    7,757.61x = 87,427,142.08
  5. Step 5: Solve for x
    x = 87,427,142.08/7,757.61
  6. Step 6: Final answer
    x = 11,269.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.