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Finding the Fourth Proportional to 10,029.60, 15,051.60 and 5,642.40

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Solution

The fourth proportional to 10,029.60, 15,051.60 and 5,642.40 is: 8,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.60 : 15,051.60 = 5,642.40 : x
  2. Step 2: Convert to fraction form
    10,029.60/15,051.60 = 5,642.40/x
  3. Step 3: Cross multiply
    10,029.60x = 15,051.60 × 5,642.40
  4. Step 4: Simplify right side
    10,029.60x = 84,927,147.84
  5. Step 5: Solve for x
    x = 84,927,147.84/10,029.60
  6. Step 6: Final answer
    x = 8,467.65

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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.