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Finding the Fourth Proportional to 13,361.84, 20,047.36 and 5,971.40

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Solution

The fourth proportional to 13,361.84, 20,047.36 and 5,971.40 is: 8,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.84 : 20,047.36 = 5,971.40 : x
  2. Step 2: Convert to fraction form
    13,361.84/20,047.36 = 5,971.40/x
  3. Step 3: Cross multiply
    13,361.84x = 20,047.36 × 5,971.40
  4. Step 4: Simplify right side
    13,361.84x = 119,710,805.50
  5. Step 5: Solve for x
    x = 119,710,805.50/13,361.84
  6. Step 6: Final answer
    x = 8,959.16

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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.