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Finding the Fourth Proportional to 7,490.70, 11,236.05 and 4,210.20

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Solution

The fourth proportional to 7,490.70, 11,236.05 and 4,210.20 is: 6,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.70 : 11,236.05 = 4,210.20 : x
  2. Step 2: Convert to fraction form
    7,490.70/11,236.05 = 4,210.20/x
  3. Step 3: Cross multiply
    7,490.70x = 11,236.05 × 4,210.20
  4. Step 4: Simplify right side
    7,490.70x = 47,306,017.71
  5. Step 5: Solve for x
    x = 47,306,017.71/7,490.70
  6. Step 6: Final answer
    x = 6,315.30

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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.