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Finding the Fourth Proportional to 15,903.90, 21,946.56 and 8,830.14

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Solution

The fourth proportional to 15,903.90, 21,946.56 and 8,830.14 is: 12,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.90 : 21,946.56 = 8,830.14 : x
  2. Step 2: Convert to fraction form
    15,903.90/21,946.56 = 8,830.14/x
  3. Step 3: Cross multiply
    15,903.90x = 21,946.56 × 8,830.14
  4. Step 4: Simplify right side
    15,903.90x = 193,791,197.32
  5. Step 5: Solve for x
    x = 193,791,197.32/15,903.90
  6. Step 6: Final answer
    x = 12,185.14

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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.