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Finding the Fourth Proportional to 13,907.94, 20,865.16 and 4,548.40

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Solution

The fourth proportional to 13,907.94, 20,865.16 and 4,548.40 is: 6,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.94 : 20,865.16 = 4,548.40 : x
  2. Step 2: Convert to fraction form
    13,907.94/20,865.16 = 4,548.40/x
  3. Step 3: Cross multiply
    13,907.94x = 20,865.16 × 4,548.40
  4. Step 4: Simplify right side
    13,907.94x = 94,903,093.74
  5. Step 5: Solve for x
    x = 94,903,093.74/13,907.94
  6. Step 6: Final answer
    x = 6,823.66

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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.