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Finding the Fourth Proportional to 3,368, 4,647.96 and 1,875.92

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Solution

The fourth proportional to 3,368, 4,647.96 and 1,875.92 is: 2,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368 : 4,647.96 = 1,875.92 : x
  2. Step 2: Convert to fraction form
    3,368/4,647.96 = 1,875.92/x
  3. Step 3: Cross multiply
    3,368x = 4,647.96 × 1,875.92
  4. Step 4: Simplify right side
    3,368x = 8,719,201.12
  5. Step 5: Solve for x
    x = 8,719,201.12/3,368
  6. Step 6: Final answer
    x = 2,588.84

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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.