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Finding the Fourth Proportional to 12,782.61, 17,639.78 and 7,118.28

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Solution

The fourth proportional to 12,782.61, 17,639.78 and 7,118.28 is: 9,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.61 : 17,639.78 = 7,118.28 : x
  2. Step 2: Convert to fraction form
    12,782.61/17,639.78 = 7,118.28/x
  3. Step 3: Cross multiply
    12,782.61x = 17,639.78 × 7,118.28
  4. Step 4: Simplify right side
    12,782.61x = 125,564,857.59
  5. Step 5: Solve for x
    x = 125,564,857.59/12,782.61
  6. Step 6: Final answer
    x = 9,823.10

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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.