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Finding the Fourth Proportional to 4,630.84, 6,978.47 and 4,192.23

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Solution

The fourth proportional to 4,630.84, 6,978.47 and 4,192.23 is: 6,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.84 : 6,978.47 = 4,192.23 : x
  2. Step 2: Convert to fraction form
    4,630.84/6,978.47 = 4,192.23/x
  3. Step 3: Cross multiply
    4,630.84x = 6,978.47 × 4,192.23
  4. Step 4: Simplify right side
    4,630.84x = 29,255,351.29
  5. Step 5: Solve for x
    x = 29,255,351.29/4,630.84
  6. Step 6: Final answer
    x = 6,317.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.