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Finding the Fourth Proportional to 9,369, 12,929.22 and 5,643.72

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Solution

The fourth proportional to 9,369, 12,929.22 and 5,643.72 is: 7,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369 : 12,929.22 = 5,643.72 : x
  2. Step 2: Convert to fraction form
    9,369/12,929.22 = 5,643.72/x
  3. Step 3: Cross multiply
    9,369x = 12,929.22 × 5,643.72
  4. Step 4: Simplify right side
    9,369x = 72,968,897.50
  5. Step 5: Solve for x
    x = 72,968,897.50/9,369
  6. Step 6: Final answer
    x = 7,788.33

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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.