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Finding the Fourth Proportional to 3,775.86, 5,210.61 and 2,097.20

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Solution

The fourth proportional to 3,775.86, 5,210.61 and 2,097.20 is: 2,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.86 : 5,210.61 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    3,775.86/5,210.61 = 2,097.20/x
  3. Step 3: Cross multiply
    3,775.86x = 5,210.61 × 2,097.20
  4. Step 4: Simplify right side
    3,775.86x = 10,927,683.51
  5. Step 5: Solve for x
    x = 10,927,683.51/3,775.86
  6. Step 6: Final answer
    x = 2,894.10

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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.