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Finding the Fourth Proportional to 9,192.99, 12,686.99 and 5,214.45

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Solution

The fourth proportional to 9,192.99, 12,686.99 and 5,214.45 is: 7,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.99 : 12,686.99 = 5,214.45 : x
  2. Step 2: Convert to fraction form
    9,192.99/12,686.99 = 5,214.45/x
  3. Step 3: Cross multiply
    9,192.99x = 12,686.99 × 5,214.45
  4. Step 4: Simplify right side
    9,192.99x = 66,155,675.01
  5. Step 5: Solve for x
    x = 66,155,675.01/9,192.99
  6. Step 6: Final answer
    x = 7,196.32

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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.