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Finding the Fourth Proportional to 2,007.88, 3,013.10 and 853.63

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Solution

The fourth proportional to 2,007.88, 3,013.10 and 853.63 is: 1,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.88 : 3,013.10 = 853.63 : x
  2. Step 2: Convert to fraction form
    2,007.88/3,013.10 = 853.63/x
  3. Step 3: Cross multiply
    2,007.88x = 3,013.10 × 853.63
  4. Step 4: Simplify right side
    2,007.88x = 2,572,072.55
  5. Step 5: Solve for x
    x = 2,572,072.55/2,007.88
  6. Step 6: Final answer
    x = 1,280.99

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1.5x scale

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.