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Finding the Fourth Proportional to 7,740.59, 11,615.90 and 2,809.80

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Solution

The fourth proportional to 7,740.59, 11,615.90 and 2,809.80 is: 4,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.59 : 11,615.90 = 2,809.80 : x
  2. Step 2: Convert to fraction form
    7,740.59/11,615.90 = 2,809.80/x
  3. Step 3: Cross multiply
    7,740.59x = 11,615.90 × 2,809.80
  4. Step 4: Simplify right side
    7,740.59x = 32,638,341.77
  5. Step 5: Solve for x
    x = 32,638,341.77/7,740.59
  6. Step 6: Final answer
    x = 4,216.52

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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.