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Finding the Fourth Proportional to 7,085.76, 9,779.08 and 3,942.24

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Solution

The fourth proportional to 7,085.76, 9,779.08 and 3,942.24 is: 5,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.76 : 9,779.08 = 3,942.24 : x
  2. Step 2: Convert to fraction form
    7,085.76/9,779.08 = 3,942.24/x
  3. Step 3: Cross multiply
    7,085.76x = 9,779.08 × 3,942.24
  4. Step 4: Simplify right side
    7,085.76x = 38,551,480.34
  5. Step 5: Solve for x
    x = 38,551,480.34/7,085.76
  6. Step 6: Final answer
    x = 5,440.70

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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.