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Finding the Fourth Proportional to 12,898.80, 17,795.04 and 8,421

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Solution

The fourth proportional to 12,898.80, 17,795.04 and 8,421 is: 11,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.80 : 17,795.04 = 8,421 : x
  2. Step 2: Convert to fraction form
    12,898.80/17,795.04 = 8,421/x
  3. Step 3: Cross multiply
    12,898.80x = 17,795.04 × 8,421
  4. Step 4: Simplify right side
    12,898.80x = 149,852,031.84
  5. Step 5: Solve for x
    x = 149,852,031.84/12,898.80
  6. Step 6: Final answer
    x = 11,617.52

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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.