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Finding the Fourth Proportional to 5,045, 7,567.58 and 1,397

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Solution

The fourth proportional to 5,045, 7,567.58 and 1,397 is: 2,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045 : 7,567.58 = 1,397 : x
  2. Step 2: Convert to fraction form
    5,045/7,567.58 = 1,397/x
  3. Step 3: Cross multiply
    5,045x = 7,567.58 × 1,397
  4. Step 4: Simplify right side
    5,045x = 10,571,909.26
  5. Step 5: Solve for x
    x = 10,571,909.26/5,045
  6. Step 6: Final answer
    x = 2,095.52

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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.