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Finding the Fourth Proportional to 2,070.02, 2,848.11 and 1,820.91

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Solution

The fourth proportional to 2,070.02, 2,848.11 and 1,820.91 is: 2,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.02 : 2,848.11 = 1,820.91 : x
  2. Step 2: Convert to fraction form
    2,070.02/2,848.11 = 1,820.91/x
  3. Step 3: Cross multiply
    2,070.02x = 2,848.11 × 1,820.91
  4. Step 4: Simplify right side
    2,070.02x = 5,186,151.98
  5. Step 5: Solve for x
    x = 5,186,151.98/2,070.02
  6. Step 6: Final answer
    x = 2,505.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.