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Finding the Fourth Proportional to 27,782.76, 38,352.72 and 17,724.72

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Solution

The fourth proportional to 27,782.76, 38,352.72 and 17,724.72 is: 24,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.76 : 38,352.72 = 17,724.72 : x
  2. Step 2: Convert to fraction form
    27,782.76/38,352.72 = 17,724.72/x
  3. Step 3: Cross multiply
    27,782.76x = 38,352.72 × 17,724.72
  4. Step 4: Simplify right side
    27,782.76x = 679,791,223.24
  5. Step 5: Solve for x
    x = 679,791,223.24/27,782.76
  6. Step 6: Final answer
    x = 24,468.10

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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.