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Finding the Fourth Proportional to 4,705.70, 6,491.20 and 4,230.02

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Solution

The fourth proportional to 4,705.70, 6,491.20 and 4,230.02 is: 5,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.70 : 6,491.20 = 4,230.02 : x
  2. Step 2: Convert to fraction form
    4,705.70/6,491.20 = 4,230.02/x
  3. Step 3: Cross multiply
    4,705.70x = 6,491.20 × 4,230.02
  4. Step 4: Simplify right side
    4,705.70x = 27,457,905.82
  5. Step 5: Solve for x
    x = 27,457,905.82/4,705.70
  6. Step 6: Final answer
    x = 5,835.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.