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Finding the Fourth Proportional to 5,646.56, 7,785.72 and 4,888.86

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Solution

The fourth proportional to 5,646.56, 7,785.72 and 4,888.86 is: 6,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.56 : 7,785.72 = 4,888.86 : x
  2. Step 2: Convert to fraction form
    5,646.56/7,785.72 = 4,888.86/x
  3. Step 3: Cross multiply
    5,646.56x = 7,785.72 × 4,888.86
  4. Step 4: Simplify right side
    5,646.56x = 38,063,265.88
  5. Step 5: Solve for x
    x = 38,063,265.88/5,646.56
  6. Step 6: Final answer
    x = 6,740.96

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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.