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Finding the Fourth Proportional to 14,252.76, 19,666.98 and 7,965.40

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Solution

The fourth proportional to 14,252.76, 19,666.98 and 7,965.40 is: 10,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.76 : 19,666.98 = 7,965.40 : x
  2. Step 2: Convert to fraction form
    14,252.76/19,666.98 = 7,965.40/x
  3. Step 3: Cross multiply
    14,252.76x = 19,666.98 × 7,965.40
  4. Step 4: Simplify right side
    14,252.76x = 156,655,362.49
  5. Step 5: Solve for x
    x = 156,655,362.49/14,252.76
  6. Step 6: Final answer
    x = 10,991.23

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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.