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Finding the Fourth Proportional to 10,396, 15,594.24 and 4,240

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Solution

The fourth proportional to 10,396, 15,594.24 and 4,240 is: 6,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396 : 15,594.24 = 4,240 : x
  2. Step 2: Convert to fraction form
    10,396/15,594.24 = 4,240/x
  3. Step 3: Cross multiply
    10,396x = 15,594.24 × 4,240
  4. Step 4: Simplify right side
    10,396x = 66,119,577.60
  5. Step 5: Solve for x
    x = 66,119,577.60/10,396
  6. Step 6: Final answer
    x = 6,360.10

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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.