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Finding the Fourth Proportional to 14,470.75, 21,695.55 and 9,779.10

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Solution

The fourth proportional to 14,470.75, 21,695.55 and 9,779.10 is: 14,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.75 : 21,695.55 = 9,779.10 : x
  2. Step 2: Convert to fraction form
    14,470.75/21,695.55 = 9,779.10/x
  3. Step 3: Cross multiply
    14,470.75x = 21,695.55 × 9,779.10
  4. Step 4: Simplify right side
    14,470.75x = 212,162,953.01
  5. Step 5: Solve for x
    x = 212,162,953.01/14,470.75
  6. Step 6: Final answer
    x = 14,661.50

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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.