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Finding the Fourth Proportional to 1,693.68, 2,533.50 and 1,590

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Solution

The fourth proportional to 1,693.68, 2,533.50 and 1,590 is: 2,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.68 : 2,533.50 = 1,590 : x
  2. Step 2: Convert to fraction form
    1,693.68/2,533.50 = 1,590/x
  3. Step 3: Cross multiply
    1,693.68x = 2,533.50 × 1,590
  4. Step 4: Simplify right side
    1,693.68x = 4,028,265
  5. Step 5: Solve for x
    x = 4,028,265/1,693.68
  6. Step 6: Final answer
    x = 2,378.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.