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Finding the Fourth Proportional to 13,777.58, 20,666.46 and 4,543.58

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Solution

The fourth proportional to 13,777.58, 20,666.46 and 4,543.58 is: 6,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.58 : 20,666.46 = 4,543.58 : x
  2. Step 2: Convert to fraction form
    13,777.58/20,666.46 = 4,543.58/x
  3. Step 3: Cross multiply
    13,777.58x = 20,666.46 × 4,543.58
  4. Step 4: Simplify right side
    13,777.58x = 93,899,714.33
  5. Step 5: Solve for x
    x = 93,899,714.33/13,777.58
  6. Step 6: Final answer
    x = 6,815.40

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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.