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Finding the Fourth Proportional to 4,705, 7,057.50 and 2,653

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Solution

The fourth proportional to 4,705, 7,057.50 and 2,653 is: 3,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705 : 7,057.50 = 2,653 : x
  2. Step 2: Convert to fraction form
    4,705/7,057.50 = 2,653/x
  3. Step 3: Cross multiply
    4,705x = 7,057.50 × 2,653
  4. Step 4: Simplify right side
    4,705x = 18,723,547.50
  5. Step 5: Solve for x
    x = 18,723,547.50/4,705
  6. Step 6: Final answer
    x = 3,979.50

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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.