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Finding the Fourth Proportional to 3,072.16, 4,605 and 1,510

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Solution

The fourth proportional to 3,072.16, 4,605 and 1,510 is: 2,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.16 : 4,605 = 1,510 : x
  2. Step 2: Convert to fraction form
    3,072.16/4,605 = 1,510/x
  3. Step 3: Cross multiply
    3,072.16x = 4,605 × 1,510
  4. Step 4: Simplify right side
    3,072.16x = 6,953,550
  5. Step 5: Solve for x
    x = 6,953,550/3,072.16
  6. Step 6: Final answer
    x = 2,263.41

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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.