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Finding the Fourth Proportional to 13,264.42, 19,890.25 and 7,719.01

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Solution

The fourth proportional to 13,264.42, 19,890.25 and 7,719.01 is: 11,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.42 : 19,890.25 = 7,719.01 : x
  2. Step 2: Convert to fraction form
    13,264.42/19,890.25 = 7,719.01/x
  3. Step 3: Cross multiply
    13,264.42x = 19,890.25 × 7,719.01
  4. Step 4: Simplify right side
    13,264.42x = 153,533,038.65
  5. Step 5: Solve for x
    x = 153,533,038.65/13,264.42
  6. Step 6: Final answer
    x = 11,574.80

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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.