Home / 1,187.23-1,636.85-973.76

Finding the Fourth Proportional to 1,187.23, 1,636.85 and 973.76

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Solution

The fourth proportional to 1,187.23, 1,636.85 and 973.76 is: 1,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.23 : 1,636.85 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,187.23/1,636.85 = 973.76/x
  3. Step 3: Cross multiply
    1,187.23x = 1,636.85 × 973.76
  4. Step 4: Simplify right side
    1,187.23x = 1,593,886.00
  5. Step 5: Solve for x
    x = 1,593,886.00/1,187.23
  6. Step 6: Final answer
    x = 1,342.53

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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.