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Finding the Fourth Proportional to 1,555.74, 2,146.86 and 967.32

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Solution

The fourth proportional to 1,555.74, 2,146.86 and 967.32 is: 1,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.74 : 2,146.86 = 967.32 : x
  2. Step 2: Convert to fraction form
    1,555.74/2,146.86 = 967.32/x
  3. Step 3: Cross multiply
    1,555.74x = 2,146.86 × 967.32
  4. Step 4: Simplify right side
    1,555.74x = 2,076,700.62
  5. Step 5: Solve for x
    x = 2,076,700.62/1,555.74
  6. Step 6: Final answer
    x = 1,334.86

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1.5x scale

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.