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Finding the Fourth Proportional to 2,030.78, 2,800.98 and 1,401.50

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Solution

The fourth proportional to 2,030.78, 2,800.98 and 1,401.50 is: 1,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.78 : 2,800.98 = 1,401.50 : x
  2. Step 2: Convert to fraction form
    2,030.78/2,800.98 = 1,401.50/x
  3. Step 3: Cross multiply
    2,030.78x = 2,800.98 × 1,401.50
  4. Step 4: Simplify right side
    2,030.78x = 3,925,580.47
  5. Step 5: Solve for x
    x = 3,925,580.47/2,030.78
  6. Step 6: Final answer
    x = 1,933.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.