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Finding the Fourth Proportional to 13,853.03, 19,117.04 and 7,565.40

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Solution

The fourth proportional to 13,853.03, 19,117.04 and 7,565.40 is: 10,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.03 : 19,117.04 = 7,565.40 : x
  2. Step 2: Convert to fraction form
    13,853.03/19,117.04 = 7,565.40/x
  3. Step 3: Cross multiply
    13,853.03x = 19,117.04 × 7,565.40
  4. Step 4: Simplify right side
    13,853.03x = 144,628,016.59
  5. Step 5: Solve for x
    x = 144,628,016.59/13,853.03
  6. Step 6: Final answer
    x = 10,440.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.