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Finding the Fourth Proportional to 15,698.12, 21,657.84 and 8,978.84

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Solution

The fourth proportional to 15,698.12, 21,657.84 and 8,978.84 is: 12,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.12 : 21,657.84 = 8,978.84 : x
  2. Step 2: Convert to fraction form
    15,698.12/21,657.84 = 8,978.84/x
  3. Step 3: Cross multiply
    15,698.12x = 21,657.84 × 8,978.84
  4. Step 4: Simplify right side
    15,698.12x = 194,462,280.11
  5. Step 5: Solve for x
    x = 194,462,280.11/15,698.12
  6. Step 6: Final answer
    x = 12,387.62

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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.