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Finding the Fourth Proportional to 14,102.85, 19,461.65 and 7,815.09

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Solution

The fourth proportional to 14,102.85, 19,461.65 and 7,815.09 is: 10,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.85 : 19,461.65 = 7,815.09 : x
  2. Step 2: Convert to fraction form
    14,102.85/19,461.65 = 7,815.09/x
  3. Step 3: Cross multiply
    14,102.85x = 19,461.65 × 7,815.09
  4. Step 4: Simplify right side
    14,102.85x = 152,094,507.22
  5. Step 5: Solve for x
    x = 152,094,507.22/14,102.85
  6. Step 6: Final answer
    x = 10,784.66

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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.