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Finding the Fourth Proportional to 14,445, 19,934.16 and 7,821

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Solution

The fourth proportional to 14,445, 19,934.16 and 7,821 is: 10,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 19,934.16 = 7,821 : x
  2. Step 2: Convert to fraction form
    14,445/19,934.16 = 7,821/x
  3. Step 3: Cross multiply
    14,445x = 19,934.16 × 7,821
  4. Step 4: Simplify right side
    14,445x = 155,905,065.36
  5. Step 5: Solve for x
    x = 155,905,065.36/14,445
  6. Step 6: Final answer
    x = 10,793.01

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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.