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Finding the Fourth Proportional to 14,308, 19,752.72 and 11,156.64

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Solution

The fourth proportional to 14,308, 19,752.72 and 11,156.64 is: 15,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308 : 19,752.72 = 11,156.64 : x
  2. Step 2: Convert to fraction form
    14,308/19,752.72 = 11,156.64/x
  3. Step 3: Cross multiply
    14,308x = 19,752.72 × 11,156.64
  4. Step 4: Simplify right side
    14,308x = 220,373,986.06
  5. Step 5: Solve for x
    x = 220,373,986.06/14,308
  6. Step 6: Final answer
    x = 15,402.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.