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Finding the Fourth Proportional to 13,927.44, 19,220.04 and 7,640.08

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Solution

The fourth proportional to 13,927.44, 19,220.04 and 7,640.08 is: 10,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.44 : 19,220.04 = 7,640.08 : x
  2. Step 2: Convert to fraction form
    13,927.44/19,220.04 = 7,640.08/x
  3. Step 3: Cross multiply
    13,927.44x = 19,220.04 × 7,640.08
  4. Step 4: Simplify right side
    13,927.44x = 146,842,643.20
  5. Step 5: Solve for x
    x = 146,842,643.20/13,927.44
  6. Step 6: Final answer
    x = 10,543.41

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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.