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Finding the Fourth Proportional to 14,367.84, 19,823 and 8,700.78

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Solution

The fourth proportional to 14,367.84, 19,823 and 8,700.78 is: 12,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.84 : 19,823 = 8,700.78 : x
  2. Step 2: Convert to fraction form
    14,367.84/19,823 = 8,700.78/x
  3. Step 3: Cross multiply
    14,367.84x = 19,823 × 8,700.78
  4. Step 4: Simplify right side
    14,367.84x = 172,475,561.94
  5. Step 5: Solve for x
    x = 172,475,561.94/14,367.84
  6. Step 6: Final answer
    x = 12,004.28

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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.