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Finding the Fourth Proportional to 15,728.16, 21,681.12 and 12,928.80

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Solution

The fourth proportional to 15,728.16, 21,681.12 and 12,928.80 is: 17,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.16 : 21,681.12 = 12,928.80 : x
  2. Step 2: Convert to fraction form
    15,728.16/21,681.12 = 12,928.80/x
  3. Step 3: Cross multiply
    15,728.16x = 21,681.12 × 12,928.80
  4. Step 4: Simplify right side
    15,728.16x = 280,310,864.26
  5. Step 5: Solve for x
    x = 280,310,864.26/15,728.16
  6. Step 6: Final answer
    x = 17,822.23

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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.