Home / 3,124.56-4,688.16-1,566

Finding the Fourth Proportional to 3,124.56, 4,688.16 and 1,566

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Solution

The fourth proportional to 3,124.56, 4,688.16 and 1,566 is: 2,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.56 : 4,688.16 = 1,566 : x
  2. Step 2: Convert to fraction form
    3,124.56/4,688.16 = 1,566/x
  3. Step 3: Cross multiply
    3,124.56x = 4,688.16 × 1,566
  4. Step 4: Simplify right side
    3,124.56x = 7,341,658.56
  5. Step 5: Solve for x
    x = 7,341,658.56/3,124.56
  6. Step 6: Final answer
    x = 2,349.66

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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.