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Finding the Fourth Proportional to 14,281.54, 19,718.16 and 8,906.08

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Solution

The fourth proportional to 14,281.54, 19,718.16 and 8,906.08 is: 12,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.54 : 19,718.16 = 8,906.08 : x
  2. Step 2: Convert to fraction form
    14,281.54/19,718.16 = 8,906.08/x
  3. Step 3: Cross multiply
    14,281.54x = 19,718.16 × 8,906.08
  4. Step 4: Simplify right side
    14,281.54x = 175,611,510.41
  5. Step 5: Solve for x
    x = 175,611,510.41/14,281.54
  6. Step 6: Final answer
    x = 12,296.40

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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.