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Finding the Fourth Proportional to 9,357.50, 12,915 and 5,580.90

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Solution

The fourth proportional to 9,357.50, 12,915 and 5,580.90 is: 7,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.50 : 12,915 = 5,580.90 : x
  2. Step 2: Convert to fraction form
    9,357.50/12,915 = 5,580.90/x
  3. Step 3: Cross multiply
    9,357.50x = 12,915 × 5,580.90
  4. Step 4: Simplify right side
    9,357.50x = 72,077,323.50
  5. Step 5: Solve for x
    x = 72,077,323.50/9,357.50
  6. Step 6: Final answer
    x = 7,702.62

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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.