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Finding the Fourth Proportional to 5,477.66, 8,211.62 and 4,089.32

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Solution

The fourth proportional to 5,477.66, 8,211.62 and 4,089.32 is: 6,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.66 : 8,211.62 = 4,089.32 : x
  2. Step 2: Convert to fraction form
    5,477.66/8,211.62 = 4,089.32/x
  3. Step 3: Cross multiply
    5,477.66x = 8,211.62 × 4,089.32
  4. Step 4: Simplify right side
    5,477.66x = 33,579,880.39
  5. Step 5: Solve for x
    x = 33,579,880.39/5,477.66
  6. Step 6: Final answer
    x = 6,130.34

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1.5x scale

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.