Home / 1,310.47-1,964.77-1,187.45

Finding the Fourth Proportional to 1,310.47, 1,964.77 and 1,187.45

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Solution

The fourth proportional to 1,310.47, 1,964.77 and 1,187.45 is: 1,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.47 : 1,964.77 = 1,187.45 : x
  2. Step 2: Convert to fraction form
    1,310.47/1,964.77 = 1,187.45/x
  3. Step 3: Cross multiply
    1,310.47x = 1,964.77 × 1,187.45
  4. Step 4: Simplify right side
    1,310.47x = 2,333,066.14
  5. Step 5: Solve for x
    x = 2,333,066.14/1,310.47
  6. Step 6: Final answer
    x = 1,780.33

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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.