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Finding the Fourth Proportional to 14,478.32, 19,978.98 and 8,191.10

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Solution

The fourth proportional to 14,478.32, 19,978.98 and 8,191.10 is: 11,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.32 : 19,978.98 = 8,191.10 : x
  2. Step 2: Convert to fraction form
    14,478.32/19,978.98 = 8,191.10/x
  3. Step 3: Cross multiply
    14,478.32x = 19,978.98 × 8,191.10
  4. Step 4: Simplify right side
    14,478.32x = 163,649,823.08
  5. Step 5: Solve for x
    x = 163,649,823.08/14,478.32
  6. Step 6: Final answer
    x = 11,303.09

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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.