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Finding the Fourth Proportional to 5,300.04, 7,951.50 and 1,602.12

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Solution

The fourth proportional to 5,300.04, 7,951.50 and 1,602.12 is: 2,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.04 : 7,951.50 = 1,602.12 : x
  2. Step 2: Convert to fraction form
    5,300.04/7,951.50 = 1,602.12/x
  3. Step 3: Cross multiply
    5,300.04x = 7,951.50 × 1,602.12
  4. Step 4: Simplify right side
    5,300.04x = 12,739,257.18
  5. Step 5: Solve for x
    x = 12,739,257.18/5,300.04
  6. Step 6: Final answer
    x = 2,403.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.