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Finding the Fourth Proportional to 2,368.60, 3,554.40 and 907.92

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Solution

The fourth proportional to 2,368.60, 3,554.40 and 907.92 is: 1,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.60 : 3,554.40 = 907.92 : x
  2. Step 2: Convert to fraction form
    2,368.60/3,554.40 = 907.92/x
  3. Step 3: Cross multiply
    2,368.60x = 3,554.40 × 907.92
  4. Step 4: Simplify right side
    2,368.60x = 3,227,110.85
  5. Step 5: Solve for x
    x = 3,227,110.85/2,368.60
  6. Step 6: Final answer
    x = 1,362.45

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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.