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Finding the Fourth Proportional to 2,080, 2,870.40 and 1,148.50

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Solution

The fourth proportional to 2,080, 2,870.40 and 1,148.50 is: 1,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 2,870.40 = 1,148.50 : x
  2. Step 2: Convert to fraction form
    2,080/2,870.40 = 1,148.50/x
  3. Step 3: Cross multiply
    2,080x = 2,870.40 × 1,148.50
  4. Step 4: Simplify right side
    2,080x = 3,296,654.40
  5. Step 5: Solve for x
    x = 3,296,654.40/2,080
  6. Step 6: Final answer
    x = 1,584.93

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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.