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Finding the Fourth Proportional to 5,454, 8,135.71 and 5,271.77

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Solution

The fourth proportional to 5,454, 8,135.71 and 5,271.77 is: 7,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454 : 8,135.71 = 5,271.77 : x
  2. Step 2: Convert to fraction form
    5,454/8,135.71 = 5,271.77/x
  3. Step 3: Cross multiply
    5,454x = 8,135.71 × 5,271.77
  4. Step 4: Simplify right side
    5,454x = 42,889,599.07
  5. Step 5: Solve for x
    x = 42,889,599.07/5,454
  6. Step 6: Final answer
    x = 7,863.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.