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Finding the Fourth Proportional to 19,886.85, 29,830.14 and 6,748.47

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Solution

The fourth proportional to 19,886.85, 29,830.14 and 6,748.47 is: 10,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.85 : 29,830.14 = 6,748.47 : x
  2. Step 2: Convert to fraction form
    19,886.85/29,830.14 = 6,748.47/x
  3. Step 3: Cross multiply
    19,886.85x = 29,830.14 × 6,748.47
  4. Step 4: Simplify right side
    19,886.85x = 201,307,804.89
  5. Step 5: Solve for x
    x = 201,307,804.89/19,886.85
  6. Step 6: Final answer
    x = 10,122.66

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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.