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Finding the Fourth Proportional to 7,435, 10,260.30 and 4,123

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Solution

The fourth proportional to 7,435, 10,260.30 and 4,123 is: 5,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435 : 10,260.30 = 4,123 : x
  2. Step 2: Convert to fraction form
    7,435/10,260.30 = 4,123/x
  3. Step 3: Cross multiply
    7,435x = 10,260.30 × 4,123
  4. Step 4: Simplify right side
    7,435x = 42,303,216.90
  5. Step 5: Solve for x
    x = 42,303,216.90/7,435
  6. Step 6: Final answer
    x = 5,689.74

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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.