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Finding the Fourth Proportional to 13,784.88, 19,023.18 and 7,497.28

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Solution

The fourth proportional to 13,784.88, 19,023.18 and 7,497.28 is: 10,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.88 : 19,023.18 = 7,497.28 : x
  2. Step 2: Convert to fraction form
    13,784.88/19,023.18 = 7,497.28/x
  3. Step 3: Cross multiply
    13,784.88x = 19,023.18 × 7,497.28
  4. Step 4: Simplify right side
    13,784.88x = 142,622,106.95
  5. Step 5: Solve for x
    x = 142,622,106.95/13,784.88
  6. Step 6: Final answer
    x = 10,346.27

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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.