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Finding the Fourth Proportional to 5,311.48, 7,969.98 and 2,970.04

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Solution

The fourth proportional to 5,311.48, 7,969.98 and 2,970.04 is: 4,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.48 : 7,969.98 = 2,970.04 : x
  2. Step 2: Convert to fraction form
    5,311.48/7,969.98 = 2,970.04/x
  3. Step 3: Cross multiply
    5,311.48x = 7,969.98 × 2,970.04
  4. Step 4: Simplify right side
    5,311.48x = 23,671,159.40
  5. Step 5: Solve for x
    x = 23,671,159.40/5,311.48
  6. Step 6: Final answer
    x = 4,456.60

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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.