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Finding the Fourth Proportional to 25,726.72, 38,590.80 and 7,258.72

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Solution

The fourth proportional to 25,726.72, 38,590.80 and 7,258.72 is: 10,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,726.72 : 38,590.80 = 7,258.72 : x
  2. Step 2: Convert to fraction form
    25,726.72/38,590.80 = 7,258.72/x
  3. Step 3: Cross multiply
    25,726.72x = 38,590.80 × 7,258.72
  4. Step 4: Simplify right side
    25,726.72x = 280,119,811.78
  5. Step 5: Solve for x
    x = 280,119,811.78/25,726.72
  6. Step 6: Final answer
    x = 10,888.28

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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.