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Finding the Fourth Proportional to 27,718.86, 38,252.06 and 15,782.20

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Solution

The fourth proportional to 27,718.86, 38,252.06 and 15,782.20 is: 21,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.86 : 38,252.06 = 15,782.20 : x
  2. Step 2: Convert to fraction form
    27,718.86/38,252.06 = 15,782.20/x
  3. Step 3: Cross multiply
    27,718.86x = 38,252.06 × 15,782.20
  4. Step 4: Simplify right side
    27,718.86x = 603,701,613.52
  5. Step 5: Solve for x
    x = 603,701,613.52/27,718.86
  6. Step 6: Final answer
    x = 21,779.46

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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.