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Finding the Fourth Proportional to 14,435.30, 21,659.63 and 7,853.64

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Solution

The fourth proportional to 14,435.30, 21,659.63 and 7,853.64 is: 11,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.30 : 21,659.63 = 7,853.64 : x
  2. Step 2: Convert to fraction form
    14,435.30/21,659.63 = 7,853.64/x
  3. Step 3: Cross multiply
    14,435.30x = 21,659.63 × 7,853.64
  4. Step 4: Simplify right side
    14,435.30x = 170,106,897.29
  5. Step 5: Solve for x
    x = 170,106,897.29/14,435.30
  6. Step 6: Final answer
    x = 11,784.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.