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Finding the Fourth Proportional to 14,101.76, 21,113.28 and 10,828.16

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Solution

The fourth proportional to 14,101.76, 21,113.28 and 10,828.16 is: 16,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.76 : 21,113.28 = 10,828.16 : x
  2. Step 2: Convert to fraction form
    14,101.76/21,113.28 = 10,828.16/x
  3. Step 3: Cross multiply
    14,101.76x = 21,113.28 × 10,828.16
  4. Step 4: Simplify right side
    14,101.76x = 228,617,973.96
  5. Step 5: Solve for x
    x = 228,617,973.96/14,101.76
  6. Step 6: Final answer
    x = 16,212.02

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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.