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Finding the Fourth Proportional to 5,607.78, 7,738.63 and 3,090.12

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Solution

The fourth proportional to 5,607.78, 7,738.63 and 3,090.12 is: 4,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.78 : 7,738.63 = 3,090.12 : x
  2. Step 2: Convert to fraction form
    5,607.78/7,738.63 = 3,090.12/x
  3. Step 3: Cross multiply
    5,607.78x = 7,738.63 × 3,090.12
  4. Step 4: Simplify right side
    5,607.78x = 23,913,258.59
  5. Step 5: Solve for x
    x = 23,913,258.59/5,607.78
  6. Step 6: Final answer
    x = 4,264.30

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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.