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Finding the Fourth Proportional to 14,728.14, 20,312.64 and 9,946.44

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Solution

The fourth proportional to 14,728.14, 20,312.64 and 9,946.44 is: 13,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.14 : 20,312.64 = 9,946.44 : x
  2. Step 2: Convert to fraction form
    14,728.14/20,312.64 = 9,946.44/x
  3. Step 3: Cross multiply
    14,728.14x = 20,312.64 × 9,946.44
  4. Step 4: Simplify right side
    14,728.14x = 202,038,455.00
  5. Step 5: Solve for x
    x = 202,038,455.00/14,728.14
  6. Step 6: Final answer
    x = 13,717.85

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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.