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Finding the Fourth Proportional to 6,030.80, 9,030 and 3,430.16

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Solution

The fourth proportional to 6,030.80, 9,030 and 3,430.16 is: 5,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.80 : 9,030 = 3,430.16 : x
  2. Step 2: Convert to fraction form
    6,030.80/9,030 = 3,430.16/x
  3. Step 3: Cross multiply
    6,030.80x = 9,030 × 3,430.16
  4. Step 4: Simplify right side
    6,030.80x = 30,974,344.80
  5. Step 5: Solve for x
    x = 30,974,344.80/6,030.80
  6. Step 6: Final answer
    x = 5,136.03

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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.