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Finding the Fourth Proportional to 13,570.62, 18,728.84 and 7,828.29

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Solution

The fourth proportional to 13,570.62, 18,728.84 and 7,828.29 is: 10,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.62 : 18,728.84 = 7,828.29 : x
  2. Step 2: Convert to fraction form
    13,570.62/18,728.84 = 7,828.29/x
  3. Step 3: Cross multiply
    13,570.62x = 18,728.84 × 7,828.29
  4. Step 4: Simplify right side
    13,570.62x = 146,614,751.74
  5. Step 5: Solve for x
    x = 146,614,751.74/13,570.62
  6. Step 6: Final answer
    x = 10,803.84

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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.