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Finding the Fourth Proportional to 5,640.32, 8,460.16 and 1,536

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Solution

The fourth proportional to 5,640.32, 8,460.16 and 1,536 is: 2,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.32 : 8,460.16 = 1,536 : x
  2. Step 2: Convert to fraction form
    5,640.32/8,460.16 = 1,536/x
  3. Step 3: Cross multiply
    5,640.32x = 8,460.16 × 1,536
  4. Step 4: Simplify right side
    5,640.32x = 12,994,805.76
  5. Step 5: Solve for x
    x = 12,994,805.76/5,640.32
  6. Step 6: Final answer
    x = 2,303.91

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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.