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Finding the Fourth Proportional to 14,403.63, 19,877.01 and 7,779.63

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Solution

The fourth proportional to 14,403.63, 19,877.01 and 7,779.63 is: 10,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403.63 : 19,877.01 = 7,779.63 : x
  2. Step 2: Convert to fraction form
    14,403.63/19,877.01 = 7,779.63/x
  3. Step 3: Cross multiply
    14,403.63x = 19,877.01 × 7,779.63
  4. Step 4: Simplify right side
    14,403.63x = 154,635,783.31
  5. Step 5: Solve for x
    x = 154,635,783.31/14,403.63
  6. Step 6: Final answer
    x = 10,735.89

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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.