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Finding the Fourth Proportional to 12,728.04, 17,564.28 and 7,690.38

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Solution

The fourth proportional to 12,728.04, 17,564.28 and 7,690.38 is: 10,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.04 : 17,564.28 = 7,690.38 : x
  2. Step 2: Convert to fraction form
    12,728.04/17,564.28 = 7,690.38/x
  3. Step 3: Cross multiply
    12,728.04x = 17,564.28 × 7,690.38
  4. Step 4: Simplify right side
    12,728.04x = 135,075,892.92
  5. Step 5: Solve for x
    x = 135,075,892.92/12,728.04
  6. Step 6: Final answer
    x = 10,612.47

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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.