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Finding the Fourth Proportional to 12,776.64, 17,629.08 and 7,470.42

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Solution

The fourth proportional to 12,776.64, 17,629.08 and 7,470.42 is: 10,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.64 : 17,629.08 = 7,470.42 : x
  2. Step 2: Convert to fraction form
    12,776.64/17,629.08 = 7,470.42/x
  3. Step 3: Cross multiply
    12,776.64x = 17,629.08 × 7,470.42
  4. Step 4: Simplify right side
    12,776.64x = 131,696,631.81
  5. Step 5: Solve for x
    x = 131,696,631.81/12,776.64
  6. Step 6: Final answer
    x = 10,307.61

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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.