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Finding the Fourth Proportional to 14,262.76, 19,681.92 and 7,889.12

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Solution

The fourth proportional to 14,262.76, 19,681.92 and 7,889.12 is: 10,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.76 : 19,681.92 = 7,889.12 : x
  2. Step 2: Convert to fraction form
    14,262.76/19,681.92 = 7,889.12/x
  3. Step 3: Cross multiply
    14,262.76x = 19,681.92 × 7,889.12
  4. Step 4: Simplify right side
    14,262.76x = 155,273,028.71
  5. Step 5: Solve for x
    x = 155,273,028.71/14,262.76
  6. Step 6: Final answer
    x = 10,886.60

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1.5x scale

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.