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Finding the Fourth Proportional to 9,618.72, 14,426.64 and 7,985.76

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Solution

The fourth proportional to 9,618.72, 14,426.64 and 7,985.76 is: 11,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.72 : 14,426.64 = 7,985.76 : x
  2. Step 2: Convert to fraction form
    9,618.72/14,426.64 = 7,985.76/x
  3. Step 3: Cross multiply
    9,618.72x = 14,426.64 × 7,985.76
  4. Step 4: Simplify right side
    9,618.72x = 115,207,684.65
  5. Step 5: Solve for x
    x = 115,207,684.65/9,618.72
  6. Step 6: Final answer
    x = 11,977.44

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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.