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Finding the Fourth Proportional to 14,259, 21,397.41 and 6,864.24

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Solution

The fourth proportional to 14,259, 21,397.41 and 6,864.24 is: 10,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259 : 21,397.41 = 6,864.24 : x
  2. Step 2: Convert to fraction form
    14,259/21,397.41 = 6,864.24/x
  3. Step 3: Cross multiply
    14,259x = 21,397.41 × 6,864.24
  4. Step 4: Simplify right side
    14,259x = 146,876,957.62
  5. Step 5: Solve for x
    x = 146,876,957.62/14,259
  6. Step 6: Final answer
    x = 10,300.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.