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Finding the Fourth Proportional to 13,875.64, 20,821.02 and 5,109.28

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Solution

The fourth proportional to 13,875.64, 20,821.02 and 5,109.28 is: 7,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.64 : 20,821.02 = 5,109.28 : x
  2. Step 2: Convert to fraction form
    13,875.64/20,821.02 = 5,109.28/x
  3. Step 3: Cross multiply
    13,875.64x = 20,821.02 × 5,109.28
  4. Step 4: Simplify right side
    13,875.64x = 106,380,349.85
  5. Step 5: Solve for x
    x = 106,380,349.85/13,875.64
  6. Step 6: Final answer
    x = 7,666.70

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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.