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Finding the Fourth Proportional to 5,271.13, 7,941.83 and 4,771.40

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Solution

The fourth proportional to 5,271.13, 7,941.83 and 4,771.40 is: 7,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.13 : 7,941.83 = 4,771.40 : x
  2. Step 2: Convert to fraction form
    5,271.13/7,941.83 = 4,771.40/x
  3. Step 3: Cross multiply
    5,271.13x = 7,941.83 × 4,771.40
  4. Step 4: Simplify right side
    5,271.13x = 37,893,643.66
  5. Step 5: Solve for x
    x = 37,893,643.66/5,271.13
  6. Step 6: Final answer
    x = 7,188.91

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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.