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Finding the Fourth Proportional to 19,690.80, 29,547 and 9,302.28

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Solution

The fourth proportional to 19,690.80, 29,547 and 9,302.28 is: 13,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.80 : 29,547 = 9,302.28 : x
  2. Step 2: Convert to fraction form
    19,690.80/29,547 = 9,302.28/x
  3. Step 3: Cross multiply
    19,690.80x = 29,547 × 9,302.28
  4. Step 4: Simplify right side
    19,690.80x = 274,854,467.16
  5. Step 5: Solve for x
    x = 274,854,467.16/19,690.80
  6. Step 6: Final answer
    x = 13,958.52

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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.