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Finding the Fourth Proportional to 19,285, 28,931.88 and 6,973

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Solution

The fourth proportional to 19,285, 28,931.88 and 6,973 is: 10,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,285 : 28,931.88 = 6,973 : x
  2. Step 2: Convert to fraction form
    19,285/28,931.88 = 6,973/x
  3. Step 3: Cross multiply
    19,285x = 28,931.88 × 6,973
  4. Step 4: Simplify right side
    19,285x = 201,741,999.24
  5. Step 5: Solve for x
    x = 201,741,999.24/19,285
  6. Step 6: Final answer
    x = 10,461.08

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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.