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Finding the Fourth Proportional to 7,877.57, 11,805.22 and 4,369.12

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Solution

The fourth proportional to 7,877.57, 11,805.22 and 4,369.12 is: 6,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.57 : 11,805.22 = 4,369.12 : x
  2. Step 2: Convert to fraction form
    7,877.57/11,805.22 = 4,369.12/x
  3. Step 3: Cross multiply
    7,877.57x = 11,805.22 × 4,369.12
  4. Step 4: Simplify right side
    7,877.57x = 51,578,418.45
  5. Step 5: Solve for x
    x = 51,578,418.45/7,877.57
  6. Step 6: Final answer
    x = 6,547.50

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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.