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Finding the Fourth Proportional to 13,674.16, 18,870.48 and 8,085.12

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Solution

The fourth proportional to 13,674.16, 18,870.48 and 8,085.12 is: 11,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.16 : 18,870.48 = 8,085.12 : x
  2. Step 2: Convert to fraction form
    13,674.16/18,870.48 = 8,085.12/x
  3. Step 3: Cross multiply
    13,674.16x = 18,870.48 × 8,085.12
  4. Step 4: Simplify right side
    13,674.16x = 152,570,095.26
  5. Step 5: Solve for x
    x = 152,570,095.26/13,674.16
  6. Step 6: Final answer
    x = 11,157.55

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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.