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Finding the Fourth Proportional to 19,642, 29,423.58 and 9,751.36

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Solution

The fourth proportional to 19,642, 29,423.58 and 9,751.36 is: 14,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642 : 29,423.58 = 9,751.36 : x
  2. Step 2: Convert to fraction form
    19,642/29,423.58 = 9,751.36/x
  3. Step 3: Cross multiply
    19,642x = 29,423.58 × 9,751.36
  4. Step 4: Simplify right side
    19,642x = 286,919,921.07
  5. Step 5: Solve for x
    x = 286,919,921.07/19,642
  6. Step 6: Final answer
    x = 14,607.47

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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.