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Finding the Fourth Proportional to 13,549, 20,323.36 and 10,282.16

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Solution

The fourth proportional to 13,549, 20,323.36 and 10,282.16 is: 15,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549 : 20,323.36 = 10,282.16 : x
  2. Step 2: Convert to fraction form
    13,549/20,323.36 = 10,282.16/x
  3. Step 3: Cross multiply
    13,549x = 20,323.36 × 10,282.16
  4. Step 4: Simplify right side
    13,549x = 208,968,039.26
  5. Step 5: Solve for x
    x = 208,968,039.26/13,549
  6. Step 6: Final answer
    x = 15,423.13

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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.