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Finding the Fourth Proportional to 1,979.63, 2,970.50 and 1,005.83

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Solution

The fourth proportional to 1,979.63, 2,970.50 and 1,005.83 is: 1,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.63 : 2,970.50 = 1,005.83 : x
  2. Step 2: Convert to fraction form
    1,979.63/2,970.50 = 1,005.83/x
  3. Step 3: Cross multiply
    1,979.63x = 2,970.50 × 1,005.83
  4. Step 4: Simplify right side
    1,979.63x = 2,987,798.13
  5. Step 5: Solve for x
    x = 2,987,798.13/1,979.63
  6. Step 6: Final answer
    x = 1,509.27

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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.