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Finding the Fourth Proportional to 2,970.95, 4,099.16 and 1,712.37

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Solution

The fourth proportional to 2,970.95, 4,099.16 and 1,712.37 is: 2,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.95 : 4,099.16 = 1,712.37 : x
  2. Step 2: Convert to fraction form
    2,970.95/4,099.16 = 1,712.37/x
  3. Step 3: Cross multiply
    2,970.95x = 4,099.16 × 1,712.37
  4. Step 4: Simplify right side
    2,970.95x = 7,019,270.05
  5. Step 5: Solve for x
    x = 7,019,270.05/2,970.95
  6. Step 6: Final answer
    x = 2,362.64

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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.