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Finding the Fourth Proportional to 1,811.28, 2,715.06 and 715.02

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Solution

The fourth proportional to 1,811.28, 2,715.06 and 715.02 is: 1,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.28 : 2,715.06 = 715.02 : x
  2. Step 2: Convert to fraction form
    1,811.28/2,715.06 = 715.02/x
  3. Step 3: Cross multiply
    1,811.28x = 2,715.06 × 715.02
  4. Step 4: Simplify right side
    1,811.28x = 1,941,322.20
  5. Step 5: Solve for x
    x = 1,941,322.20/1,811.28
  6. Step 6: Final answer
    x = 1,071.80

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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.