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Finding the Fourth Proportional to 13,772.64, 19,005.44 and 7,484.96

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Solution

The fourth proportional to 13,772.64, 19,005.44 and 7,484.96 is: 10,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.64 : 19,005.44 = 7,484.96 : x
  2. Step 2: Convert to fraction form
    13,772.64/19,005.44 = 7,484.96/x
  3. Step 3: Cross multiply
    13,772.64x = 19,005.44 × 7,484.96
  4. Step 4: Simplify right side
    13,772.64x = 142,254,958.18
  5. Step 5: Solve for x
    x = 142,254,958.18/13,772.64
  6. Step 6: Final answer
    x = 10,328.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.