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Finding the Fourth Proportional to 2,068.50, 2,852.10 and 1,478.01

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Solution

The fourth proportional to 2,068.50, 2,852.10 and 1,478.01 is: 2,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.50 : 2,852.10 = 1,478.01 : x
  2. Step 2: Convert to fraction form
    2,068.50/2,852.10 = 1,478.01/x
  3. Step 3: Cross multiply
    2,068.50x = 2,852.10 × 1,478.01
  4. Step 4: Simplify right side
    2,068.50x = 4,215,432.32
  5. Step 5: Solve for x
    x = 4,215,432.32/2,068.50
  6. Step 6: Final answer
    x = 2,037.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.