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Finding the Fourth Proportional to 1,347.32, 1,860.21 and 993.28

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Solution

The fourth proportional to 1,347.32, 1,860.21 and 993.28 is: 1,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.32 : 1,860.21 = 993.28 : x
  2. Step 2: Convert to fraction form
    1,347.32/1,860.21 = 993.28/x
  3. Step 3: Cross multiply
    1,347.32x = 1,860.21 × 993.28
  4. Step 4: Simplify right side
    1,347.32x = 1,847,704.74
  5. Step 5: Solve for x
    x = 1,847,704.74/1,347.32
  6. Step 6: Final answer
    x = 1,371.40

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Half scale
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Double scale
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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.