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Finding the Fourth Proportional to 1,390.78, 2,094.38 and 1,210.35

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Solution

The fourth proportional to 1,390.78, 2,094.38 and 1,210.35 is: 1,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.78 : 2,094.38 = 1,210.35 : x
  2. Step 2: Convert to fraction form
    1,390.78/2,094.38 = 1,210.35/x
  3. Step 3: Cross multiply
    1,390.78x = 2,094.38 × 1,210.35
  4. Step 4: Simplify right side
    1,390.78x = 2,534,932.83
  5. Step 5: Solve for x
    x = 2,534,932.83/1,390.78
  6. Step 6: Final answer
    x = 1,822.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.