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Finding the Fourth Proportional to 13,393.10, 18,482.16 and 7,727.86

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Solution

The fourth proportional to 13,393.10, 18,482.16 and 7,727.86 is: 10,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.10 : 18,482.16 = 7,727.86 : x
  2. Step 2: Convert to fraction form
    13,393.10/18,482.16 = 7,727.86/x
  3. Step 3: Cross multiply
    13,393.10x = 18,482.16 × 7,727.86
  4. Step 4: Simplify right side
    13,393.10x = 142,827,544.98
  5. Step 5: Solve for x
    x = 142,827,544.98/13,393.10
  6. Step 6: Final answer
    x = 10,664.26

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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.