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Finding the Fourth Proportional to 7,615, 10,504.30 and 4,470.58

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Solution

The fourth proportional to 7,615, 10,504.30 and 4,470.58 is: 6,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615 : 10,504.30 = 4,470.58 : x
  2. Step 2: Convert to fraction form
    7,615/10,504.30 = 4,470.58/x
  3. Step 3: Cross multiply
    7,615x = 10,504.30 × 4,470.58
  4. Step 4: Simplify right side
    7,615x = 46,960,313.49
  5. Step 5: Solve for x
    x = 46,960,313.49/7,615
  6. Step 6: Final answer
    x = 6,166.82

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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.