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Finding the Fourth Proportional to 11,555.94, 15,947.10 and 6,520.10

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Solution

The fourth proportional to 11,555.94, 15,947.10 and 6,520.10 is: 8,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.94 : 15,947.10 = 6,520.10 : x
  2. Step 2: Convert to fraction form
    11,555.94/15,947.10 = 6,520.10/x
  3. Step 3: Cross multiply
    11,555.94x = 15,947.10 × 6,520.10
  4. Step 4: Simplify right side
    11,555.94x = 103,976,686.71
  5. Step 5: Solve for x
    x = 103,976,686.71/11,555.94
  6. Step 6: Final answer
    x = 8,997.68

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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.