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Finding the Fourth Proportional to 7,129.88, 10,692.10 and 2,854.30

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Solution

The fourth proportional to 7,129.88, 10,692.10 and 2,854.30 is: 4,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.88 : 10,692.10 = 2,854.30 : x
  2. Step 2: Convert to fraction form
    7,129.88/10,692.10 = 2,854.30/x
  3. Step 3: Cross multiply
    7,129.88x = 10,692.10 × 2,854.30
  4. Step 4: Simplify right side
    7,129.88x = 30,518,393.30
  5. Step 5: Solve for x
    x = 30,518,393.30/7,129.88
  6. Step 6: Final answer
    x = 4,280.35

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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.