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Finding the Fourth Proportional to 5,312.79, 7,971.93 and 2,390.49

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Solution

The fourth proportional to 5,312.79, 7,971.93 and 2,390.49 is: 3,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.79 : 7,971.93 = 2,390.49 : x
  2. Step 2: Convert to fraction form
    5,312.79/7,971.93 = 2,390.49/x
  3. Step 3: Cross multiply
    5,312.79x = 7,971.93 × 2,390.49
  4. Step 4: Simplify right side
    5,312.79x = 19,056,818.95
  5. Step 5: Solve for x
    x = 19,056,818.95/5,312.79
  6. Step 6: Final answer
    x = 3,586.97

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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.