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Finding the Fourth Proportional to 4,690.78, 7,034.19 and 1,402.99

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Solution

The fourth proportional to 4,690.78, 7,034.19 and 1,402.99 is: 2,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.78 : 7,034.19 = 1,402.99 : x
  2. Step 2: Convert to fraction form
    4,690.78/7,034.19 = 1,402.99/x
  3. Step 3: Cross multiply
    4,690.78x = 7,034.19 × 1,402.99
  4. Step 4: Simplify right side
    4,690.78x = 9,868,898.23
  5. Step 5: Solve for x
    x = 9,868,898.23/4,690.78
  6. Step 6: Final answer
    x = 2,103.89

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1.5x scale

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.