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Finding the Fourth Proportional to 14,681, 20,259.60 and 7,966.64

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Solution

The fourth proportional to 14,681, 20,259.60 and 7,966.64 is: 10,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681 : 20,259.60 = 7,966.64 : x
  2. Step 2: Convert to fraction form
    14,681/20,259.60 = 7,966.64/x
  3. Step 3: Cross multiply
    14,681x = 20,259.60 × 7,966.64
  4. Step 4: Simplify right side
    14,681x = 161,400,939.74
  5. Step 5: Solve for x
    x = 161,400,939.74/14,681
  6. Step 6: Final answer
    x = 10,993.87

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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.