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Finding the Fourth Proportional to 6,520.32, 8,985.60 and 4,654.08

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Solution

The fourth proportional to 6,520.32, 8,985.60 and 4,654.08 is: 6,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.32 : 8,985.60 = 4,654.08 : x
  2. Step 2: Convert to fraction form
    6,520.32/8,985.60 = 4,654.08/x
  3. Step 3: Cross multiply
    6,520.32x = 8,985.60 × 4,654.08
  4. Step 4: Simplify right side
    6,520.32x = 41,819,701.25
  5. Step 5: Solve for x
    x = 41,819,701.25/6,520.32
  6. Step 6: Final answer
    x = 6,413.75

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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.