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Finding the Fourth Proportional to 2,030, 2,801.40 and 1,098.50

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Solution

The fourth proportional to 2,030, 2,801.40 and 1,098.50 is: 1,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030 : 2,801.40 = 1,098.50 : x
  2. Step 2: Convert to fraction form
    2,030/2,801.40 = 1,098.50/x
  3. Step 3: Cross multiply
    2,030x = 2,801.40 × 1,098.50
  4. Step 4: Simplify right side
    2,030x = 3,077,337.90
  5. Step 5: Solve for x
    x = 3,077,337.90/2,030
  6. Step 6: Final answer
    x = 1,515.93

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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.