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Finding the Fourth Proportional to 10,509.63, 15,764.51 and 2,718.51

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Solution

The fourth proportional to 10,509.63, 15,764.51 and 2,718.51 is: 4,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.63 : 15,764.51 = 2,718.51 : x
  2. Step 2: Convert to fraction form
    10,509.63/15,764.51 = 2,718.51/x
  3. Step 3: Cross multiply
    10,509.63x = 15,764.51 × 2,718.51
  4. Step 4: Simplify right side
    10,509.63x = 42,855,978.08
  5. Step 5: Solve for x
    x = 42,855,978.08/10,509.63
  6. Step 6: Final answer
    x = 4,077.78

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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.