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Finding the Fourth Proportional to 5,315.18, 7,970 and 2,390.98

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Solution

The fourth proportional to 5,315.18, 7,970 and 2,390.98 is: 3,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.18 : 7,970 = 2,390.98 : x
  2. Step 2: Convert to fraction form
    5,315.18/7,970 = 2,390.98/x
  3. Step 3: Cross multiply
    5,315.18x = 7,970 × 2,390.98
  4. Step 4: Simplify right side
    5,315.18x = 19,056,110.60
  5. Step 5: Solve for x
    x = 19,056,110.60/5,315.18
  6. Step 6: Final answer
    x = 3,585.22

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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.