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Finding the Fourth Proportional to 19,521, 29,281.50 and 4,729.86

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Solution

The fourth proportional to 19,521, 29,281.50 and 4,729.86 is: 7,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521 : 29,281.50 = 4,729.86 : x
  2. Step 2: Convert to fraction form
    19,521/29,281.50 = 4,729.86/x
  3. Step 3: Cross multiply
    19,521x = 29,281.50 × 4,729.86
  4. Step 4: Simplify right side
    19,521x = 138,497,395.59
  5. Step 5: Solve for x
    x = 138,497,395.59/19,521
  6. Step 6: Final answer
    x = 7,094.79

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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.