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Finding the Fourth Proportional to 8,475, 12,712.50 and 3,003

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Solution

The fourth proportional to 8,475, 12,712.50 and 3,003 is: 4,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475 : 12,712.50 = 3,003 : x
  2. Step 2: Convert to fraction form
    8,475/12,712.50 = 3,003/x
  3. Step 3: Cross multiply
    8,475x = 12,712.50 × 3,003
  4. Step 4: Simplify right side
    8,475x = 38,175,637.50
  5. Step 5: Solve for x
    x = 38,175,637.50/8,475
  6. Step 6: Final answer
    x = 4,504.50

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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.