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Finding the Fourth Proportional to 13,782.30, 20,673.45 and 9,894.30

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Solution

The fourth proportional to 13,782.30, 20,673.45 and 9,894.30 is: 14,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.30 : 20,673.45 = 9,894.30 : x
  2. Step 2: Convert to fraction form
    13,782.30/20,673.45 = 9,894.30/x
  3. Step 3: Cross multiply
    13,782.30x = 20,673.45 × 9,894.30
  4. Step 4: Simplify right side
    13,782.30x = 204,549,316.34
  5. Step 5: Solve for x
    x = 204,549,316.34/13,782.30
  6. Step 6: Final answer
    x = 14,841.45

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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.