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Finding the Fourth Proportional to 6,429.70, 9,644.55 and 4,971.70

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Solution

The fourth proportional to 6,429.70, 9,644.55 and 4,971.70 is: 7,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.70 : 9,644.55 = 4,971.70 : x
  2. Step 2: Convert to fraction form
    6,429.70/9,644.55 = 4,971.70/x
  3. Step 3: Cross multiply
    6,429.70x = 9,644.55 × 4,971.70
  4. Step 4: Simplify right side
    6,429.70x = 47,949,809.24
  5. Step 5: Solve for x
    x = 47,949,809.24/6,429.70
  6. Step 6: Final answer
    x = 7,457.55

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1.5x scale

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.