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Finding the Fourth Proportional to 7,077.78, 9,763.74 and 4,715.82

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Solution

The fourth proportional to 7,077.78, 9,763.74 and 4,715.82 is: 6,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.78 : 9,763.74 = 4,715.82 : x
  2. Step 2: Convert to fraction form
    7,077.78/9,763.74 = 4,715.82/x
  3. Step 3: Cross multiply
    7,077.78x = 9,763.74 × 4,715.82
  4. Step 4: Simplify right side
    7,077.78x = 46,044,040.37
  5. Step 5: Solve for x
    x = 46,044,040.37/7,077.78
  6. Step 6: Final answer
    x = 6,505.44

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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.