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Finding the Fourth Proportional to 7,809.76, 10,779.78 and 5,452.66

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Solution

The fourth proportional to 7,809.76, 10,779.78 and 5,452.66 is: 7,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.76 : 10,779.78 = 5,452.66 : x
  2. Step 2: Convert to fraction form
    7,809.76/10,779.78 = 5,452.66/x
  3. Step 3: Cross multiply
    7,809.76x = 10,779.78 × 5,452.66
  4. Step 4: Simplify right side
    7,809.76x = 58,778,475.21
  5. Step 5: Solve for x
    x = 58,778,475.21/7,809.76
  6. Step 6: Final answer
    x = 7,526.28

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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.