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Finding the Fourth Proportional to 15,770, 21,762.88 and 10,190.72

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Solution

The fourth proportional to 15,770, 21,762.88 and 10,190.72 is: 14,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 21,762.88 = 10,190.72 : x
  2. Step 2: Convert to fraction form
    15,770/21,762.88 = 10,190.72/x
  3. Step 3: Cross multiply
    15,770x = 21,762.88 × 10,190.72
  4. Step 4: Simplify right side
    15,770x = 221,779,416.47
  5. Step 5: Solve for x
    x = 221,779,416.47/15,770
  6. Step 6: Final answer
    x = 14,063.37

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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.