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Finding the Fourth Proportional to 13,772.70, 19,005.03 and 9,528.30

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Solution

The fourth proportional to 13,772.70, 19,005.03 and 9,528.30 is: 13,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.70 : 19,005.03 = 9,528.30 : x
  2. Step 2: Convert to fraction form
    13,772.70/19,005.03 = 9,528.30/x
  3. Step 3: Cross multiply
    13,772.70x = 19,005.03 × 9,528.30
  4. Step 4: Simplify right side
    13,772.70x = 181,085,627.35
  5. Step 5: Solve for x
    x = 181,085,627.35/13,772.70
  6. Step 6: Final answer
    x = 13,148.16

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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.