Home / 1,312.66-1,970.88-1,166.86

Finding the Fourth Proportional to 1,312.66, 1,970.88 and 1,166.86

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Solution

The fourth proportional to 1,312.66, 1,970.88 and 1,166.86 is: 1,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.66 : 1,970.88 = 1,166.86 : x
  2. Step 2: Convert to fraction form
    1,312.66/1,970.88 = 1,166.86/x
  3. Step 3: Cross multiply
    1,312.66x = 1,970.88 × 1,166.86
  4. Step 4: Simplify right side
    1,312.66x = 2,299,741.04
  5. Step 5: Solve for x
    x = 2,299,741.04/1,312.66
  6. Step 6: Final answer
    x = 1,751.97

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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.