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Finding the Fourth Proportional to 19,521, 29,279.88 and 9,656.82

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Solution

The fourth proportional to 19,521, 29,279.88 and 9,656.82 is: 14,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521 : 29,279.88 = 9,656.82 : x
  2. Step 2: Convert to fraction form
    19,521/29,279.88 = 9,656.82/x
  3. Step 3: Cross multiply
    19,521x = 29,279.88 × 9,656.82
  4. Step 4: Simplify right side
    19,521x = 282,750,530.78
  5. Step 5: Solve for x
    x = 282,750,530.78/19,521
  6. Step 6: Final answer
    x = 14,484.43

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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.