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Finding the Fourth Proportional to 2,002.51, 3,000.89 and 1,570.51

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Solution

The fourth proportional to 2,002.51, 3,000.89 and 1,570.51 is: 2,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.51 : 3,000.89 = 1,570.51 : x
  2. Step 2: Convert to fraction form
    2,002.51/3,000.89 = 1,570.51/x
  3. Step 3: Cross multiply
    2,002.51x = 3,000.89 × 1,570.51
  4. Step 4: Simplify right side
    2,002.51x = 4,712,919.90
  5. Step 5: Solve for x
    x = 4,712,919.90/2,002.51
  6. Step 6: Final answer
    x = 2,353.51

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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.