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Finding the Fourth Proportional to 6,511.60, 9,129.20 and 6,511.60

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Solution

The fourth proportional to 6,511.60, 9,129.20 and 6,511.60 is: 9,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.60 : 9,129.20 = 6,511.60 : x
  2. Step 2: Convert to fraction form
    6,511.60/9,129.20 = 6,511.60/x
  3. Step 3: Cross multiply
    6,511.60x = 9,129.20 × 6,511.60
  4. Step 4: Simplify right side
    6,511.60x = 59,445,698.72
  5. Step 5: Solve for x
    x = 59,445,698.72/6,511.60
  6. Step 6: Final answer
    x = 9,129.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.