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Finding the Fourth Proportional to 9,277, 12,802.26 and 5,085.40

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Solution

The fourth proportional to 9,277, 12,802.26 and 5,085.40 is: 7,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277 : 12,802.26 = 5,085.40 : x
  2. Step 2: Convert to fraction form
    9,277/12,802.26 = 5,085.40/x
  3. Step 3: Cross multiply
    9,277x = 12,802.26 × 5,085.40
  4. Step 4: Simplify right side
    9,277x = 65,104,613.00
  5. Step 5: Solve for x
    x = 65,104,613.00/9,277
  6. Step 6: Final answer
    x = 7,017.85

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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.