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Finding the Fourth Proportional to 14,066.64, 19,412.56 and 7,779

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Solution

The fourth proportional to 14,066.64, 19,412.56 and 7,779 is: 10,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.64 : 19,412.56 = 7,779 : x
  2. Step 2: Convert to fraction form
    14,066.64/19,412.56 = 7,779/x
  3. Step 3: Cross multiply
    14,066.64x = 19,412.56 × 7,779
  4. Step 4: Simplify right side
    14,066.64x = 151,010,304.24
  5. Step 5: Solve for x
    x = 151,010,304.24/14,066.64
  6. Step 6: Final answer
    x = 10,735.35

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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.