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Finding the Fourth Proportional to 13,670.40, 18,864.84 and 8,365.20

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Solution

The fourth proportional to 13,670.40, 18,864.84 and 8,365.20 is: 11,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.40 : 18,864.84 = 8,365.20 : x
  2. Step 2: Convert to fraction form
    13,670.40/18,864.84 = 8,365.20/x
  3. Step 3: Cross multiply
    13,670.40x = 18,864.84 × 8,365.20
  4. Step 4: Simplify right side
    13,670.40x = 157,808,159.57
  5. Step 5: Solve for x
    x = 157,808,159.57/13,670.40
  6. Step 6: Final answer
    x = 11,543.79

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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.