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Finding the Fourth Proportional to 15,877.53, 21,912 and 9,164.40

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Solution

The fourth proportional to 15,877.53, 21,912 and 9,164.40 is: 12,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.53 : 21,912 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    15,877.53/21,912 = 9,164.40/x
  3. Step 3: Cross multiply
    15,877.53x = 21,912 × 9,164.40
  4. Step 4: Simplify right side
    15,877.53x = 200,810,332.80
  5. Step 5: Solve for x
    x = 200,810,332.80/15,877.53
  6. Step 6: Final answer
    x = 12,647.45

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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.