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Finding the Fourth Proportional to 1,472.84, 2,222.63 and 1,423.88

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Solution

The fourth proportional to 1,472.84, 2,222.63 and 1,423.88 is: 2,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.84 : 2,222.63 = 1,423.88 : x
  2. Step 2: Convert to fraction form
    1,472.84/2,222.63 = 1,423.88/x
  3. Step 3: Cross multiply
    1,472.84x = 2,222.63 × 1,423.88
  4. Step 4: Simplify right side
    1,472.84x = 3,164,758.40
  5. Step 5: Solve for x
    x = 3,164,758.40/1,472.84
  6. Step 6: Final answer
    x = 2,148.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.