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Finding the Fourth Proportional to 13,563, 18,713.70 and 7,894.26

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Solution

The fourth proportional to 13,563, 18,713.70 and 7,894.26 is: 10,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563 : 18,713.70 = 7,894.26 : x
  2. Step 2: Convert to fraction form
    13,563/18,713.70 = 7,894.26/x
  3. Step 3: Cross multiply
    13,563x = 18,713.70 × 7,894.26
  4. Step 4: Simplify right side
    13,563x = 147,730,813.36
  5. Step 5: Solve for x
    x = 147,730,813.36/13,563
  6. Step 6: Final answer
    x = 10,892.19

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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.