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Finding the Fourth Proportional to 4,974.32, 7,457.74 and 4,289.06

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Solution

The fourth proportional to 4,974.32, 7,457.74 and 4,289.06 is: 6,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.32 : 7,457.74 = 4,289.06 : x
  2. Step 2: Convert to fraction form
    4,974.32/7,457.74 = 4,289.06/x
  3. Step 3: Cross multiply
    4,974.32x = 7,457.74 × 4,289.06
  4. Step 4: Simplify right side
    4,974.32x = 31,986,702.25
  5. Step 5: Solve for x
    x = 31,986,702.25/4,974.32
  6. Step 6: Final answer
    x = 6,430.36

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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.