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Finding the Fourth Proportional to 13,904.32, 19,188.16 and 8,314.24

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Solution

The fourth proportional to 13,904.32, 19,188.16 and 8,314.24 is: 11,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.32 : 19,188.16 = 8,314.24 : x
  2. Step 2: Convert to fraction form
    13,904.32/19,188.16 = 8,314.24/x
  3. Step 3: Cross multiply
    13,904.32x = 19,188.16 × 8,314.24
  4. Step 4: Simplify right side
    13,904.32x = 159,534,967.40
  5. Step 5: Solve for x
    x = 159,534,967.40/13,904.32
  6. Step 6: Final answer
    x = 11,473.77

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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.