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Finding the Fourth Proportional to 4,700.88, 7,054.02 and 1,778.40

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Solution

The fourth proportional to 4,700.88, 7,054.02 and 1,778.40 is: 2,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.88 : 7,054.02 = 1,778.40 : x
  2. Step 2: Convert to fraction form
    4,700.88/7,054.02 = 1,778.40/x
  3. Step 3: Cross multiply
    4,700.88x = 7,054.02 × 1,778.40
  4. Step 4: Simplify right side
    4,700.88x = 12,544,869.17
  5. Step 5: Solve for x
    x = 12,544,869.17/4,700.88
  6. Step 6: Final answer
    x = 2,668.62

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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.