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Finding the Fourth Proportional to 12,787.13, 17,653.14 and 8,970.46

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Solution

The fourth proportional to 12,787.13, 17,653.14 and 8,970.46 is: 12,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.13 : 17,653.14 = 8,970.46 : x
  2. Step 2: Convert to fraction form
    12,787.13/17,653.14 = 8,970.46/x
  3. Step 3: Cross multiply
    12,787.13x = 17,653.14 × 8,970.46
  4. Step 4: Simplify right side
    12,787.13x = 158,356,786.24
  5. Step 5: Solve for x
    x = 158,356,786.24/12,787.13
  6. Step 6: Final answer
    x = 12,384.08

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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.