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Finding the Fourth Proportional to 6,144.47, 9,216.74 and 1,527.47

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Solution

The fourth proportional to 6,144.47, 9,216.74 and 1,527.47 is: 2,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.47 : 9,216.74 = 1,527.47 : x
  2. Step 2: Convert to fraction form
    6,144.47/9,216.74 = 1,527.47/x
  3. Step 3: Cross multiply
    6,144.47x = 9,216.74 × 1,527.47
  4. Step 4: Simplify right side
    6,144.47x = 14,078,277.55
  5. Step 5: Solve for x
    x = 14,078,277.55/6,144.47
  6. Step 6: Final answer
    x = 2,291.21

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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.