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Finding the Fourth Proportional to 13,602.94, 20,415.38 and 7,031.00

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Solution

The fourth proportional to 13,602.94, 20,415.38 and 7,031.00 is: 10,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.94 : 20,415.38 = 7,031.00 : x
  2. Step 2: Convert to fraction form
    13,602.94/20,415.38 = 7,031.00/x
  3. Step 3: Cross multiply
    13,602.94x = 20,415.38 × 7,031.00
  4. Step 4: Simplify right side
    13,602.94x = 143,540,552.66
  5. Step 5: Solve for x
    x = 143,540,552.66/13,602.94
  6. Step 6: Final answer
    x = 10,552.17

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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.