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Finding the Fourth Proportional to 7,970.31, 10,999.31 and 4,385.55

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Solution

The fourth proportional to 7,970.31, 10,999.31 and 4,385.55 is: 6,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.31 : 10,999.31 = 4,385.55 : x
  2. Step 2: Convert to fraction form
    7,970.31/10,999.31 = 4,385.55/x
  3. Step 3: Cross multiply
    7,970.31x = 10,999.31 × 4,385.55
  4. Step 4: Simplify right side
    7,970.31x = 48,237,947.05
  5. Step 5: Solve for x
    x = 48,237,947.05/7,970.31
  6. Step 6: Final answer
    x = 6,052.21

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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.