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Finding the Fourth Proportional to 7,711.78, 11,590.36 and 6,403.94

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Solution

The fourth proportional to 7,711.78, 11,590.36 and 6,403.94 is: 9,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.78 : 11,590.36 = 6,403.94 : x
  2. Step 2: Convert to fraction form
    7,711.78/11,590.36 = 6,403.94/x
  3. Step 3: Cross multiply
    7,711.78x = 11,590.36 × 6,403.94
  4. Step 4: Simplify right side
    7,711.78x = 74,223,970.02
  5. Step 5: Solve for x
    x = 74,223,970.02/7,711.78
  6. Step 6: Final answer
    x = 9,624.75

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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.