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Finding the Fourth Proportional to 5,680, 8,520.48 and 1,576

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Solution

The fourth proportional to 5,680, 8,520.48 and 1,576 is: 2,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 8,520.48 = 1,576 : x
  2. Step 2: Convert to fraction form
    5,680/8,520.48 = 1,576/x
  3. Step 3: Cross multiply
    5,680x = 8,520.48 × 1,576
  4. Step 4: Simplify right side
    5,680x = 13,428,276.48
  5. Step 5: Solve for x
    x = 13,428,276.48/5,680
  6. Step 6: Final answer
    x = 2,364.13

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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.