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Finding the Fourth Proportional to 9,666.74, 14,479.97 and 7,782.48

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Solution

The fourth proportional to 9,666.74, 14,479.97 and 7,782.48 is: 11,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.74 : 14,479.97 = 7,782.48 : x
  2. Step 2: Convert to fraction form
    9,666.74/14,479.97 = 7,782.48/x
  3. Step 3: Cross multiply
    9,666.74x = 14,479.97 × 7,782.48
  4. Step 4: Simplify right side
    9,666.74x = 112,690,038.01
  5. Step 5: Solve for x
    x = 112,690,038.01/9,666.74
  6. Step 6: Final answer
    x = 11,657.50

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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.