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Finding the Fourth Proportional to 19,765.84, 29,657.08 and 8,666.80

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Solution

The fourth proportional to 19,765.84, 29,657.08 and 8,666.80 is: 13,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.84 : 29,657.08 = 8,666.80 : x
  2. Step 2: Convert to fraction form
    19,765.84/29,657.08 = 8,666.80/x
  3. Step 3: Cross multiply
    19,765.84x = 29,657.08 × 8,666.80
  4. Step 4: Simplify right side
    19,765.84x = 257,031,980.94
  5. Step 5: Solve for x
    x = 257,031,980.94/19,765.84
  6. Step 6: Final answer
    x = 13,003.85

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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.