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Finding the Fourth Proportional to 5,666.70, 7,822.80 and 3,779.40

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Solution

The fourth proportional to 5,666.70, 7,822.80 and 3,779.40 is: 5,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.70 : 7,822.80 = 3,779.40 : x
  2. Step 2: Convert to fraction form
    5,666.70/7,822.80 = 3,779.40/x
  3. Step 3: Cross multiply
    5,666.70x = 7,822.80 × 3,779.40
  4. Step 4: Simplify right side
    5,666.70x = 29,565,490.32
  5. Step 5: Solve for x
    x = 29,565,490.32/5,666.70
  6. Step 6: Final answer
    x = 5,217.41

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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.