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Finding the Fourth Proportional to 4,710.71, 7,066.65 and 1,423.79

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Solution

The fourth proportional to 4,710.71, 7,066.65 and 1,423.79 is: 2,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.71 : 7,066.65 = 1,423.79 : x
  2. Step 2: Convert to fraction form
    4,710.71/7,066.65 = 1,423.79/x
  3. Step 3: Cross multiply
    4,710.71x = 7,066.65 × 1,423.79
  4. Step 4: Simplify right side
    4,710.71x = 10,061,425.60
  5. Step 5: Solve for x
    x = 10,061,425.60/4,710.71
  6. Step 6: Final answer
    x = 2,135.86

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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.