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Finding the Fourth Proportional to 11,520.71, 15,898.54 and 6,484.93

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Solution

The fourth proportional to 11,520.71, 15,898.54 and 6,484.93 is: 8,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.71 : 15,898.54 = 6,484.93 : x
  2. Step 2: Convert to fraction form
    11,520.71/15,898.54 = 6,484.93/x
  3. Step 3: Cross multiply
    11,520.71x = 15,898.54 × 6,484.93
  4. Step 4: Simplify right side
    11,520.71x = 103,100,919.00
  5. Step 5: Solve for x
    x = 103,100,919.00/11,520.71
  6. Step 6: Final answer
    x = 8,949.18

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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.