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Finding the Fourth Proportional to 7,580.99, 10,461.50 and 4,223.64

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Solution

The fourth proportional to 7,580.99, 10,461.50 and 4,223.64 is: 5,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.99 : 10,461.50 = 4,223.64 : x
  2. Step 2: Convert to fraction form
    7,580.99/10,461.50 = 4,223.64/x
  3. Step 3: Cross multiply
    7,580.99x = 10,461.50 × 4,223.64
  4. Step 4: Simplify right side
    7,580.99x = 44,185,588.74
  5. Step 5: Solve for x
    x = 44,185,588.74/7,580.99
  6. Step 6: Final answer
    x = 5,828.48

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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.