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Finding the Fourth Proportional to 17,285, 25,927.50 and 4,973

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Solution

The fourth proportional to 17,285, 25,927.50 and 4,973 is: 7,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285 : 25,927.50 = 4,973 : x
  2. Step 2: Convert to fraction form
    17,285/25,927.50 = 4,973/x
  3. Step 3: Cross multiply
    17,285x = 25,927.50 × 4,973
  4. Step 4: Simplify right side
    17,285x = 128,937,457.50
  5. Step 5: Solve for x
    x = 128,937,457.50/17,285
  6. Step 6: Final answer
    x = 7,459.50

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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.