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Finding the Fourth Proportional to 21,689.87, 32,533.65 and 6,897.65

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Solution

The fourth proportional to 21,689.87, 32,533.65 and 6,897.65 is: 10,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.87 : 32,533.65 = 6,897.65 : x
  2. Step 2: Convert to fraction form
    21,689.87/32,533.65 = 6,897.65/x
  3. Step 3: Cross multiply
    21,689.87x = 32,533.65 × 6,897.65
  4. Step 4: Simplify right side
    21,689.87x = 224,405,730.92
  5. Step 5: Solve for x
    x = 224,405,730.92/21,689.87
  6. Step 6: Final answer
    x = 10,346.11

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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.