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Finding the Fourth Proportional to 15,857.40, 21,880.98 and 8,784.24

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Solution

The fourth proportional to 15,857.40, 21,880.98 and 8,784.24 is: 12,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.40 : 21,880.98 = 8,784.24 : x
  2. Step 2: Convert to fraction form
    15,857.40/21,880.98 = 8,784.24/x
  3. Step 3: Cross multiply
    15,857.40x = 21,880.98 × 8,784.24
  4. Step 4: Simplify right side
    15,857.40x = 192,207,779.76
  5. Step 5: Solve for x
    x = 192,207,779.76/15,857.40
  6. Step 6: Final answer
    x = 12,121.01

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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.