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Finding the Fourth Proportional to 10,491.56, 15,729.62 and 4,941.77

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Solution

The fourth proportional to 10,491.56, 15,729.62 and 4,941.77 is: 7,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.56 : 15,729.62 = 4,941.77 : x
  2. Step 2: Convert to fraction form
    10,491.56/15,729.62 = 4,941.77/x
  3. Step 3: Cross multiply
    10,491.56x = 15,729.62 × 4,941.77
  4. Step 4: Simplify right side
    10,491.56x = 77,732,164.23
  5. Step 5: Solve for x
    x = 77,732,164.23/10,491.56
  6. Step 6: Final answer
    x = 7,409.02

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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.