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Finding the Fourth Proportional to 4,700.30, 7,047.81 and 1,578.69

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Solution

The fourth proportional to 4,700.30, 7,047.81 and 1,578.69 is: 2,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.30 : 7,047.81 = 1,578.69 : x
  2. Step 2: Convert to fraction form
    4,700.30/7,047.81 = 1,578.69/x
  3. Step 3: Cross multiply
    4,700.30x = 7,047.81 × 1,578.69
  4. Step 4: Simplify right side
    4,700.30x = 11,126,307.17
  5. Step 5: Solve for x
    x = 11,126,307.17/4,700.30
  6. Step 6: Final answer
    x = 2,367.15

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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.