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Finding the Fourth Proportional to 13,597.80, 20,363.85 and 7,736.64

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Solution

The fourth proportional to 13,597.80, 20,363.85 and 7,736.64 is: 11,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.80 : 20,363.85 = 7,736.64 : x
  2. Step 2: Convert to fraction form
    13,597.80/20,363.85 = 7,736.64/x
  3. Step 3: Cross multiply
    13,597.80x = 20,363.85 × 7,736.64
  4. Step 4: Simplify right side
    13,597.80x = 157,547,776.46
  5. Step 5: Solve for x
    x = 157,547,776.46/13,597.80
  6. Step 6: Final answer
    x = 11,586.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.