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Finding the Fourth Proportional to 2,384.78, 3,293.06 and 1,502.15

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Solution

The fourth proportional to 2,384.78, 3,293.06 and 1,502.15 is: 2,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.78 : 3,293.06 = 1,502.15 : x
  2. Step 2: Convert to fraction form
    2,384.78/3,293.06 = 1,502.15/x
  3. Step 3: Cross multiply
    2,384.78x = 3,293.06 × 1,502.15
  4. Step 4: Simplify right side
    2,384.78x = 4,946,646.10
  5. Step 5: Solve for x
    x = 4,946,646.10/2,384.78
  6. Step 6: Final answer
    x = 2,074.26

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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.