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Finding the Fourth Proportional to 12,886.16, 19,328.16 and 6,642.80

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Solution

The fourth proportional to 12,886.16, 19,328.16 and 6,642.80 is: 9,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.16 : 19,328.16 = 6,642.80 : x
  2. Step 2: Convert to fraction form
    12,886.16/19,328.16 = 6,642.80/x
  3. Step 3: Cross multiply
    12,886.16x = 19,328.16 × 6,642.80
  4. Step 4: Simplify right side
    12,886.16x = 128,393,101.25
  5. Step 5: Solve for x
    x = 128,393,101.25/12,886.16
  6. Step 6: Final answer
    x = 9,963.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.