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Finding the Fourth Proportional to 6,152.40, 8,490 and 3,499.62

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Solution

The fourth proportional to 6,152.40, 8,490 and 3,499.62 is: 4,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.40 : 8,490 = 3,499.62 : x
  2. Step 2: Convert to fraction form
    6,152.40/8,490 = 3,499.62/x
  3. Step 3: Cross multiply
    6,152.40x = 8,490 × 3,499.62
  4. Step 4: Simplify right side
    6,152.40x = 29,711,773.80
  5. Step 5: Solve for x
    x = 29,711,773.80/6,152.40
  6. Step 6: Final answer
    x = 4,829.30

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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.