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Finding the Fourth Proportional to 3,130.30, 4,692.30 and 1,567.90

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Solution

The fourth proportional to 3,130.30, 4,692.30 and 1,567.90 is: 2,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.30 : 4,692.30 = 1,567.90 : x
  2. Step 2: Convert to fraction form
    3,130.30/4,692.30 = 1,567.90/x
  3. Step 3: Cross multiply
    3,130.30x = 4,692.30 × 1,567.90
  4. Step 4: Simplify right side
    3,130.30x = 7,357,057.17
  5. Step 5: Solve for x
    x = 7,357,057.17/3,130.30
  6. Step 6: Final answer
    x = 2,350.27

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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.