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Finding the Fourth Proportional to 14,407.57, 19,882.43 and 7,783.57

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Solution

The fourth proportional to 14,407.57, 19,882.43 and 7,783.57 is: 10,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.57 : 19,882.43 = 7,783.57 : x
  2. Step 2: Convert to fraction form
    14,407.57/19,882.43 = 7,783.57/x
  3. Step 3: Cross multiply
    14,407.57x = 19,882.43 × 7,783.57
  4. Step 4: Simplify right side
    14,407.57x = 154,756,285.68
  5. Step 5: Solve for x
    x = 154,756,285.68/14,407.57
  6. Step 6: Final answer
    x = 10,741.32

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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.