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Finding the Fourth Proportional to 4,056.98, 6,085.46 and 978.98

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Solution

The fourth proportional to 4,056.98, 6,085.46 and 978.98 is: 1,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.98 : 6,085.46 = 978.98 : x
  2. Step 2: Convert to fraction form
    4,056.98/6,085.46 = 978.98/x
  3. Step 3: Cross multiply
    4,056.98x = 6,085.46 × 978.98
  4. Step 4: Simplify right side
    4,056.98x = 5,957,543.63
  5. Step 5: Solve for x
    x = 5,957,543.63/4,056.98
  6. Step 6: Final answer
    x = 1,468.47

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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.