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Finding the Fourth Proportional to 10,489.76, 14,477.20 and 6,297.76

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Solution

The fourth proportional to 10,489.76, 14,477.20 and 6,297.76 is: 8,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.76 : 14,477.20 = 6,297.76 : x
  2. Step 2: Convert to fraction form
    10,489.76/14,477.20 = 6,297.76/x
  3. Step 3: Cross multiply
    10,489.76x = 14,477.20 × 6,297.76
  4. Step 4: Simplify right side
    10,489.76x = 91,173,931.07
  5. Step 5: Solve for x
    x = 91,173,931.07/10,489.76
  6. Step 6: Final answer
    x = 8,691.71

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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.