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Finding the Fourth Proportional to 13,570.58, 18,728.10 and 8,264.54

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Solution

The fourth proportional to 13,570.58, 18,728.10 and 8,264.54 is: 11,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.58 : 18,728.10 = 8,264.54 : x
  2. Step 2: Convert to fraction form
    13,570.58/18,728.10 = 8,264.54/x
  3. Step 3: Cross multiply
    13,570.58x = 18,728.10 × 8,264.54
  4. Step 4: Simplify right side
    13,570.58x = 154,779,131.57
  5. Step 5: Solve for x
    x = 154,779,131.57/13,570.58
  6. Step 6: Final answer
    x = 11,405.49

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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.