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Finding the Fourth Proportional to 19,762.48, 29,643.72 and 7,921.63

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Solution

The fourth proportional to 19,762.48, 29,643.72 and 7,921.63 is: 11,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.48 : 29,643.72 = 7,921.63 : x
  2. Step 2: Convert to fraction form
    19,762.48/29,643.72 = 7,921.63/x
  3. Step 3: Cross multiply
    19,762.48x = 29,643.72 × 7,921.63
  4. Step 4: Simplify right side
    19,762.48x = 234,826,581.66
  5. Step 5: Solve for x
    x = 234,826,581.66/19,762.48
  6. Step 6: Final answer
    x = 11,882.45

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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.