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Finding the Fourth Proportional to 13,927.76, 20,894.72 and 6,911.60

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Solution

The fourth proportional to 13,927.76, 20,894.72 and 6,911.60 is: 10,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.76 : 20,894.72 = 6,911.60 : x
  2. Step 2: Convert to fraction form
    13,927.76/20,894.72 = 6,911.60/x
  3. Step 3: Cross multiply
    13,927.76x = 20,894.72 × 6,911.60
  4. Step 4: Simplify right side
    13,927.76x = 144,415,946.75
  5. Step 5: Solve for x
    x = 144,415,946.75/13,927.76
  6. Step 6: Final answer
    x = 10,368.93

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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.