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Finding the Fourth Proportional to 9,107.60, 12,779.80 and 9,107.60

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Solution

The fourth proportional to 9,107.60, 12,779.80 and 9,107.60 is: 12,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.60 : 12,779.80 = 9,107.60 : x
  2. Step 2: Convert to fraction form
    9,107.60/12,779.80 = 9,107.60/x
  3. Step 3: Cross multiply
    9,107.60x = 12,779.80 × 9,107.60
  4. Step 4: Simplify right side
    9,107.60x = 116,393,306.48
  5. Step 5: Solve for x
    x = 116,393,306.48/9,107.60
  6. Step 6: Final answer
    x = 12,779.80

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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.