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Finding the Fourth Proportional to 5,640, 8,460.02 and 1,536

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Solution

The fourth proportional to 5,640, 8,460.02 and 1,536 is: 2,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 8,460.02 = 1,536 : x
  2. Step 2: Convert to fraction form
    5,640/8,460.02 = 1,536/x
  3. Step 3: Cross multiply
    5,640x = 8,460.02 × 1,536
  4. Step 4: Simplify right side
    5,640x = 12,994,590.72
  5. Step 5: Solve for x
    x = 12,994,590.72/5,640
  6. Step 6: Final answer
    x = 2,304.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.