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Finding the Fourth Proportional to 7,970.75, 10,999.64 and 4,658.75

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Solution

The fourth proportional to 7,970.75, 10,999.64 and 4,658.75 is: 6,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.75 : 10,999.64 = 4,658.75 : x
  2. Step 2: Convert to fraction form
    7,970.75/10,999.64 = 4,658.75/x
  3. Step 3: Cross multiply
    7,970.75x = 10,999.64 × 4,658.75
  4. Step 4: Simplify right side
    7,970.75x = 51,244,572.85
  5. Step 5: Solve for x
    x = 51,244,572.85/7,970.75
  6. Step 6: Final answer
    x = 6,429.08

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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.