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Finding the Fourth Proportional to 1,341.51, 2,009.50 and 995.24

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Solution

The fourth proportional to 1,341.51, 2,009.50 and 995.24 is: 1,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.51 : 2,009.50 = 995.24 : x
  2. Step 2: Convert to fraction form
    1,341.51/2,009.50 = 995.24/x
  3. Step 3: Cross multiply
    1,341.51x = 2,009.50 × 995.24
  4. Step 4: Simplify right side
    1,341.51x = 1,999,919.76
  5. Step 5: Solve for x
    x = 1,999,919.76/1,341.51
  6. Step 6: Final answer
    x = 1,490.80

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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.