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Finding the Fourth Proportional to 2,005.83, 3,008.21 and 707.13

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Solution

The fourth proportional to 2,005.83, 3,008.21 and 707.13 is: 1,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.83 : 3,008.21 = 707.13 : x
  2. Step 2: Convert to fraction form
    2,005.83/3,008.21 = 707.13/x
  3. Step 3: Cross multiply
    2,005.83x = 3,008.21 × 707.13
  4. Step 4: Simplify right side
    2,005.83x = 2,127,192.00
  5. Step 5: Solve for x
    x = 2,127,192.00/2,005.83
  6. Step 6: Final answer
    x = 1,060.50

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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.