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Finding the Fourth Proportional to 7,774.34, 11,652.38 and 3,605.57

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Solution

The fourth proportional to 7,774.34, 11,652.38 and 3,605.57 is: 5,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.34 : 11,652.38 = 3,605.57 : x
  2. Step 2: Convert to fraction form
    7,774.34/11,652.38 = 3,605.57/x
  3. Step 3: Cross multiply
    7,774.34x = 11,652.38 × 3,605.57
  4. Step 4: Simplify right side
    7,774.34x = 42,013,482.86
  5. Step 5: Solve for x
    x = 42,013,482.86/7,774.34
  6. Step 6: Final answer
    x = 5,404.12

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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.