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Finding the Fourth Proportional to 3,038.47, 4,557.54 and 847.15

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Solution

The fourth proportional to 3,038.47, 4,557.54 and 847.15 is: 1,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.47 : 4,557.54 = 847.15 : x
  2. Step 2: Convert to fraction form
    3,038.47/4,557.54 = 847.15/x
  3. Step 3: Cross multiply
    3,038.47x = 4,557.54 × 847.15
  4. Step 4: Simplify right side
    3,038.47x = 3,860,920.01
  5. Step 5: Solve for x
    x = 3,860,920.01/3,038.47
  6. Step 6: Final answer
    x = 1,270.68

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1.5x scale

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.