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Finding the Fourth Proportional to 1,566.44, 2,160.74 and 976.86

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Solution

The fourth proportional to 1,566.44, 2,160.74 and 976.86 is: 1,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.44 : 2,160.74 = 976.86 : x
  2. Step 2: Convert to fraction form
    1,566.44/2,160.74 = 976.86/x
  3. Step 3: Cross multiply
    1,566.44x = 2,160.74 × 976.86
  4. Step 4: Simplify right side
    1,566.44x = 2,110,740.48
  5. Step 5: Solve for x
    x = 2,110,740.48/1,566.44
  6. Step 6: Final answer
    x = 1,347.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.