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Finding the Fourth Proportional to 2,079.64, 2,870.36 and 1,416.75

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Solution

The fourth proportional to 2,079.64, 2,870.36 and 1,416.75 is: 1,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.64 : 2,870.36 = 1,416.75 : x
  2. Step 2: Convert to fraction form
    2,079.64/2,870.36 = 1,416.75/x
  3. Step 3: Cross multiply
    2,079.64x = 2,870.36 × 1,416.75
  4. Step 4: Simplify right side
    2,079.64x = 4,066,586.07
  5. Step 5: Solve for x
    x = 4,066,586.07/2,079.64
  6. Step 6: Final answer
    x = 1,955.43

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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.