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Finding the Fourth Proportional to 13,875.88, 20,812.91 and 5,978.08

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Solution

The fourth proportional to 13,875.88, 20,812.91 and 5,978.08 is: 8,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.88 : 20,812.91 = 5,978.08 : x
  2. Step 2: Convert to fraction form
    13,875.88/20,812.91 = 5,978.08/x
  3. Step 3: Cross multiply
    13,875.88x = 20,812.91 × 5,978.08
  4. Step 4: Simplify right side
    13,875.88x = 124,421,241.01
  5. Step 5: Solve for x
    x = 124,421,241.01/13,875.88
  6. Step 6: Final answer
    x = 8,966.73

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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.