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Finding the Fourth Proportional to 7,090.10, 9,783.90 and 3,902.84

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Solution

The fourth proportional to 7,090.10, 9,783.90 and 3,902.84 is: 5,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.10 : 9,783.90 = 3,902.84 : x
  2. Step 2: Convert to fraction form
    7,090.10/9,783.90 = 3,902.84/x
  3. Step 3: Cross multiply
    7,090.10x = 9,783.90 × 3,902.84
  4. Step 4: Simplify right side
    7,090.10x = 38,184,996.28
  5. Step 5: Solve for x
    x = 38,184,996.28/7,090.10
  6. Step 6: Final answer
    x = 5,385.68

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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.