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Finding the Fourth Proportional to 5,752, 8,628.16 and 1,856.80

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Solution

The fourth proportional to 5,752, 8,628.16 and 1,856.80 is: 2,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752 : 8,628.16 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    5,752/8,628.16 = 1,856.80/x
  3. Step 3: Cross multiply
    5,752x = 8,628.16 × 1,856.80
  4. Step 4: Simplify right side
    5,752x = 16,020,767.49
  5. Step 5: Solve for x
    x = 16,020,767.49/5,752
  6. Step 6: Final answer
    x = 2,785.25

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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.