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Finding the Fourth Proportional to 14,285.88, 21,411 and 11,011.32

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Solution

The fourth proportional to 14,285.88, 21,411 and 11,011.32 is: 16,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.88 : 21,411 = 11,011.32 : x
  2. Step 2: Convert to fraction form
    14,285.88/21,411 = 11,011.32/x
  3. Step 3: Cross multiply
    14,285.88x = 21,411 × 11,011.32
  4. Step 4: Simplify right side
    14,285.88x = 235,763,372.52
  5. Step 5: Solve for x
    x = 235,763,372.52/14,285.88
  6. Step 6: Final answer
    x = 16,503.24

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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.