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Finding the Fourth Proportional to 21,929.18, 32,894.07 and 7,138.17

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Solution

The fourth proportional to 21,929.18, 32,894.07 and 7,138.17 is: 10,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.18 : 32,894.07 = 7,138.17 : x
  2. Step 2: Convert to fraction form
    21,929.18/32,894.07 = 7,138.17/x
  3. Step 3: Cross multiply
    21,929.18x = 32,894.07 × 7,138.17
  4. Step 4: Simplify right side
    21,929.18x = 234,803,463.65
  5. Step 5: Solve for x
    x = 234,803,463.65/21,929.18
  6. Step 6: Final answer
    x = 10,707.35

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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.