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Finding the Fourth Proportional to 5,631.57, 8,447.34 and 1,527.57

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Solution

The fourth proportional to 5,631.57, 8,447.34 and 1,527.57 is: 2,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.57 : 8,447.34 = 1,527.57 : x
  2. Step 2: Convert to fraction form
    5,631.57/8,447.34 = 1,527.57/x
  3. Step 3: Cross multiply
    5,631.57x = 8,447.34 × 1,527.57
  4. Step 4: Simplify right side
    5,631.57x = 12,903,903.16
  5. Step 5: Solve for x
    x = 12,903,903.16/5,631.57
  6. Step 6: Final answer
    x = 2,291.35

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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.