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Finding the Fourth Proportional to 5,673.90, 7,830.12 and 3,156.12

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Solution

The fourth proportional to 5,673.90, 7,830.12 and 3,156.12 is: 4,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.90 : 7,830.12 = 3,156.12 : x
  2. Step 2: Convert to fraction form
    5,673.90/7,830.12 = 3,156.12/x
  3. Step 3: Cross multiply
    5,673.90x = 7,830.12 × 3,156.12
  4. Step 4: Simplify right side
    5,673.90x = 24,712,798.33
  5. Step 5: Solve for x
    x = 24,712,798.33/5,673.90
  6. Step 6: Final answer
    x = 4,355.52

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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.