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Finding the Fourth Proportional to 5,420.80, 7,484.93 and 4,159.86

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Solution

The fourth proportional to 5,420.80, 7,484.93 and 4,159.86 is: 5,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.80 : 7,484.93 = 4,159.86 : x
  2. Step 2: Convert to fraction form
    5,420.80/7,484.93 = 4,159.86/x
  3. Step 3: Cross multiply
    5,420.80x = 7,484.93 × 4,159.86
  4. Step 4: Simplify right side
    5,420.80x = 31,136,260.91
  5. Step 5: Solve for x
    x = 31,136,260.91/5,420.80
  6. Step 6: Final answer
    x = 5,743.85

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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.