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Finding the Fourth Proportional to 1,865.90, 2,576.05 and 1,658.30

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Solution

The fourth proportional to 1,865.90, 2,576.05 and 1,658.30 is: 2,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.90 : 2,576.05 = 1,658.30 : x
  2. Step 2: Convert to fraction form
    1,865.90/2,576.05 = 1,658.30/x
  3. Step 3: Cross multiply
    1,865.90x = 2,576.05 × 1,658.30
  4. Step 4: Simplify right side
    1,865.90x = 4,271,869.07
  5. Step 5: Solve for x
    x = 4,271,869.07/1,865.90
  6. Step 6: Final answer
    x = 2,289.44

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1.5x scale

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.