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Finding the Fourth Proportional to 14,143.68, 19,512 and 9,423.36

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Solution

The fourth proportional to 14,143.68, 19,512 and 9,423.36 is: 13,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.68 : 19,512 = 9,423.36 : x
  2. Step 2: Convert to fraction form
    14,143.68/19,512 = 9,423.36/x
  3. Step 3: Cross multiply
    14,143.68x = 19,512 × 9,423.36
  4. Step 4: Simplify right side
    14,143.68x = 183,868,600.32
  5. Step 5: Solve for x
    x = 183,868,600.32/14,143.68
  6. Step 6: Final answer
    x = 13,000.05

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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.