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Finding the Fourth Proportional to 11,571, 15,967.87 and 6,535.16

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Solution

The fourth proportional to 11,571, 15,967.87 and 6,535.16 is: 9,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 15,967.87 = 6,535.16 : x
  2. Step 2: Convert to fraction form
    11,571/15,967.87 = 6,535.16/x
  3. Step 3: Cross multiply
    11,571x = 15,967.87 × 6,535.16
  4. Step 4: Simplify right side
    11,571x = 104,352,585.31
  5. Step 5: Solve for x
    x = 104,352,585.31/11,571
  6. Step 6: Final answer
    x = 9,018.46

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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.