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Finding the Fourth Proportional to 4,807.50, 7,212.51 and 4,284

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Solution

The fourth proportional to 4,807.50, 7,212.51 and 4,284 is: 6,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.50 : 7,212.51 = 4,284 : x
  2. Step 2: Convert to fraction form
    4,807.50/7,212.51 = 4,284/x
  3. Step 3: Cross multiply
    4,807.50x = 7,212.51 × 4,284
  4. Step 4: Simplify right side
    4,807.50x = 30,898,392.84
  5. Step 5: Solve for x
    x = 30,898,392.84/4,807.50
  6. Step 6: Final answer
    x = 6,427.12

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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.