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Finding the Fourth Proportional to 4,905.79, 7,309.08 and 4,657.93

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Solution

The fourth proportional to 4,905.79, 7,309.08 and 4,657.93 is: 6,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.79 : 7,309.08 = 4,657.93 : x
  2. Step 2: Convert to fraction form
    4,905.79/7,309.08 = 4,657.93/x
  3. Step 3: Cross multiply
    4,905.79x = 7,309.08 × 4,657.93
  4. Step 4: Simplify right side
    4,905.79x = 34,045,183.00
  5. Step 5: Solve for x
    x = 34,045,183.00/4,905.79
  6. Step 6: Final answer
    x = 6,939.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.