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Finding the Fourth Proportional to 14,386.64, 21,566.99 and 5,619.40

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Solution

The fourth proportional to 14,386.64, 21,566.99 and 5,619.40 is: 8,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.64 : 21,566.99 = 5,619.40 : x
  2. Step 2: Convert to fraction form
    14,386.64/21,566.99 = 5,619.40/x
  3. Step 3: Cross multiply
    14,386.64x = 21,566.99 × 5,619.40
  4. Step 4: Simplify right side
    14,386.64x = 121,193,503.74
  5. Step 5: Solve for x
    x = 121,193,503.74/14,386.64
  6. Step 6: Final answer
    x = 8,424.03

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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.