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Finding the Fourth Proportional to 4,056.48, 6,084.71 and 978.48

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Solution

The fourth proportional to 4,056.48, 6,084.71 and 978.48 is: 1,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.48 : 6,084.71 = 978.48 : x
  2. Step 2: Convert to fraction form
    4,056.48/6,084.71 = 978.48/x
  3. Step 3: Cross multiply
    4,056.48x = 6,084.71 × 978.48
  4. Step 4: Simplify right side
    4,056.48x = 5,953,762.15
  5. Step 5: Solve for x
    x = 5,953,762.15/4,056.48
  6. Step 6: Final answer
    x = 1,467.72

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1.5x scale

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.