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Finding the Fourth Proportional to 6,144.40, 9,210.08 and 3,020

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Solution

The fourth proportional to 6,144.40, 9,210.08 and 3,020 is: 4,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.40 : 9,210.08 = 3,020 : x
  2. Step 2: Convert to fraction form
    6,144.40/9,210.08 = 3,020/x
  3. Step 3: Cross multiply
    6,144.40x = 9,210.08 × 3,020
  4. Step 4: Simplify right side
    6,144.40x = 27,814,441.60
  5. Step 5: Solve for x
    x = 27,814,441.60/6,144.40
  6. Step 6: Final answer
    x = 4,526.80

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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.