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Finding the Fourth Proportional to 9,210.16, 12,687.78 and 7,610.14

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Solution

The fourth proportional to 9,210.16, 12,687.78 and 7,610.14 is: 10,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.16 : 12,687.78 = 7,610.14 : x
  2. Step 2: Convert to fraction form
    9,210.16/12,687.78 = 7,610.14/x
  3. Step 3: Cross multiply
    9,210.16x = 12,687.78 × 7,610.14
  4. Step 4: Simplify right side
    9,210.16x = 96,555,782.09
  5. Step 5: Solve for x
    x = 96,555,782.09/9,210.16
  6. Step 6: Final answer
    x = 10,483.62

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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.