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Finding the Fourth Proportional to 5,641.88, 7,780.02 and 4,683.24

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Solution

The fourth proportional to 5,641.88, 7,780.02 and 4,683.24 is: 6,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.88 : 7,780.02 = 4,683.24 : x
  2. Step 2: Convert to fraction form
    5,641.88/7,780.02 = 4,683.24/x
  3. Step 3: Cross multiply
    5,641.88x = 7,780.02 × 4,683.24
  4. Step 4: Simplify right side
    5,641.88x = 36,435,700.86
  5. Step 5: Solve for x
    x = 36,435,700.86/5,641.88
  6. Step 6: Final answer
    x = 6,458.08

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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.