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Finding the Fourth Proportional to 7,809.62, 10,779.54 and 4,454.24

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Solution

The fourth proportional to 7,809.62, 10,779.54 and 4,454.24 is: 6,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.62 : 10,779.54 = 4,454.24 : x
  2. Step 2: Convert to fraction form
    7,809.62/10,779.54 = 4,454.24/x
  3. Step 3: Cross multiply
    7,809.62x = 10,779.54 × 4,454.24
  4. Step 4: Simplify right side
    7,809.62x = 48,014,658.25
  5. Step 5: Solve for x
    x = 48,014,658.25/7,809.62
  6. Step 6: Final answer
    x = 6,148.14

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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.