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Finding the Fourth Proportional to 5,285.20, 7,271.22 and 5,139.40

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Solution

The fourth proportional to 5,285.20, 7,271.22 and 5,139.40 is: 7,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.20 : 7,271.22 = 5,139.40 : x
  2. Step 2: Convert to fraction form
    5,285.20/7,271.22 = 5,139.40/x
  3. Step 3: Cross multiply
    5,285.20x = 7,271.22 × 5,139.40
  4. Step 4: Simplify right side
    5,285.20x = 37,369,708.07
  5. Step 5: Solve for x
    x = 37,369,708.07/5,285.20
  6. Step 6: Final answer
    x = 7,070.63

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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.