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Finding the Fourth Proportional to 19,989.84, 29,978.28 and 6,844.08

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Solution

The fourth proportional to 19,989.84, 29,978.28 and 6,844.08 is: 10,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.84 : 29,978.28 = 6,844.08 : x
  2. Step 2: Convert to fraction form
    19,989.84/29,978.28 = 6,844.08/x
  3. Step 3: Cross multiply
    19,989.84x = 29,978.28 × 6,844.08
  4. Step 4: Simplify right side
    19,989.84x = 205,173,746.58
  5. Step 5: Solve for x
    x = 205,173,746.58/19,989.84
  6. Step 6: Final answer
    x = 10,263.90

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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.