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Finding the Fourth Proportional to 2,970.92, 4,458.14 and 2,820.84

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Solution

The fourth proportional to 2,970.92, 4,458.14 and 2,820.84 is: 4,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.92 : 4,458.14 = 2,820.84 : x
  2. Step 2: Convert to fraction form
    2,970.92/4,458.14 = 2,820.84/x
  3. Step 3: Cross multiply
    2,970.92x = 4,458.14 × 2,820.84
  4. Step 4: Simplify right side
    2,970.92x = 12,575,699.64
  5. Step 5: Solve for x
    x = 12,575,699.64/2,970.92
  6. Step 6: Final answer
    x = 4,232.93

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1.5x scale

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.