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Finding the Fourth Proportional to 12,762, 19,145.72 and 4,970.80

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Solution

The fourth proportional to 12,762, 19,145.72 and 4,970.80 is: 7,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762 : 19,145.72 = 4,970.80 : x
  2. Step 2: Convert to fraction form
    12,762/19,145.72 = 4,970.80/x
  3. Step 3: Cross multiply
    12,762x = 19,145.72 × 4,970.80
  4. Step 4: Simplify right side
    12,762x = 95,169,544.98
  5. Step 5: Solve for x
    x = 95,169,544.98/12,762
  6. Step 6: Final answer
    x = 7,457.26

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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.