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Finding the Fourth Proportional to 3,527.64, 5,291.06 and 930.78

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Solution

The fourth proportional to 3,527.64, 5,291.06 and 930.78 is: 1,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.64 : 5,291.06 = 930.78 : x
  2. Step 2: Convert to fraction form
    3,527.64/5,291.06 = 930.78/x
  3. Step 3: Cross multiply
    3,527.64x = 5,291.06 × 930.78
  4. Step 4: Simplify right side
    3,527.64x = 4,924,808.17
  5. Step 5: Solve for x
    x = 4,924,808.17/3,527.64
  6. Step 6: Final answer
    x = 1,396.06

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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.