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Finding the Fourth Proportional to 8,509.54, 12,762.01 and 5,384.86

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Solution

The fourth proportional to 8,509.54, 12,762.01 and 5,384.86 is: 8,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.54 : 12,762.01 = 5,384.86 : x
  2. Step 2: Convert to fraction form
    8,509.54/12,762.01 = 5,384.86/x
  3. Step 3: Cross multiply
    8,509.54x = 12,762.01 × 5,384.86
  4. Step 4: Simplify right side
    8,509.54x = 68,721,637.17
  5. Step 5: Solve for x
    x = 68,721,637.17/8,509.54
  6. Step 6: Final answer
    x = 8,075.83

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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.