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Finding the Fourth Proportional to 7,800.78, 11,685.71 and 3,635.06

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Solution

The fourth proportional to 7,800.78, 11,685.71 and 3,635.06 is: 5,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.78 : 11,685.71 = 3,635.06 : x
  2. Step 2: Convert to fraction form
    7,800.78/11,685.71 = 3,635.06/x
  3. Step 3: Cross multiply
    7,800.78x = 11,685.71 × 3,635.06
  4. Step 4: Simplify right side
    7,800.78x = 42,478,256.99
  5. Step 5: Solve for x
    x = 42,478,256.99/7,800.78
  6. Step 6: Final answer
    x = 5,445.39

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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.