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Finding the Fourth Proportional to 5,578.89, 7,695.43 and 4,629.16

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Solution

The fourth proportional to 5,578.89, 7,695.43 and 4,629.16 is: 6,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.89 : 7,695.43 = 4,629.16 : x
  2. Step 2: Convert to fraction form
    5,578.89/7,695.43 = 4,629.16/x
  3. Step 3: Cross multiply
    5,578.89x = 7,695.43 × 4,629.16
  4. Step 4: Simplify right side
    5,578.89x = 35,623,376.74
  5. Step 5: Solve for x
    x = 35,623,376.74/5,578.89
  6. Step 6: Final answer
    x = 6,385.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.