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Finding the Fourth Proportional to 13,784.60, 19,333 and 13,784.60

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Solution

The fourth proportional to 13,784.60, 19,333 and 13,784.60 is: 19,333

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.60 : 19,333 = 13,784.60 : x
  2. Step 2: Convert to fraction form
    13,784.60/19,333 = 13,784.60/x
  3. Step 3: Cross multiply
    13,784.60x = 19,333 × 13,784.60
  4. Step 4: Simplify right side
    13,784.60x = 266,497,671.80
  5. Step 5: Solve for x
    x = 266,497,671.80/13,784.60
  6. Step 6: Final answer
    x = 19,333

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.