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Finding the Fourth Proportional to 1,681.95, 2,330.93 and 1,658.46

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Solution

The fourth proportional to 1,681.95, 2,330.93 and 1,658.46 is: 2,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.95 : 2,330.93 = 1,658.46 : x
  2. Step 2: Convert to fraction form
    1,681.95/2,330.93 = 1,658.46/x
  3. Step 3: Cross multiply
    1,681.95x = 2,330.93 × 1,658.46
  4. Step 4: Simplify right side
    1,681.95x = 3,865,745.88
  5. Step 5: Solve for x
    x = 3,865,745.88/1,681.95
  6. Step 6: Final answer
    x = 2,298.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.