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Finding the Fourth Proportional to 6,271.40, 9,404.08 and 2,320

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Solution

The fourth proportional to 6,271.40, 9,404.08 and 2,320 is: 3,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.40 : 9,404.08 = 2,320 : x
  2. Step 2: Convert to fraction form
    6,271.40/9,404.08 = 2,320/x
  3. Step 3: Cross multiply
    6,271.40x = 9,404.08 × 2,320
  4. Step 4: Simplify right side
    6,271.40x = 21,817,465.60
  5. Step 5: Solve for x
    x = 21,817,465.60/6,271.40
  6. Step 6: Final answer
    x = 3,478.88

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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.