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Finding the Fourth Proportional to 1,444.15, 1,991.86 and 1,071.15

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Solution

The fourth proportional to 1,444.15, 1,991.86 and 1,071.15 is: 1,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.15 : 1,991.86 = 1,071.15 : x
  2. Step 2: Convert to fraction form
    1,444.15/1,991.86 = 1,071.15/x
  3. Step 3: Cross multiply
    1,444.15x = 1,991.86 × 1,071.15
  4. Step 4: Simplify right side
    1,444.15x = 2,133,580.84
  5. Step 5: Solve for x
    x = 2,133,580.84/1,444.15
  6. Step 6: Final answer
    x = 1,477.40

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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.