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Finding the Fourth Proportional to 14,151.92, 19,530 and 7,864.64

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Solution

The fourth proportional to 14,151.92, 19,530 and 7,864.64 is: 10,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.92 : 19,530 = 7,864.64 : x
  2. Step 2: Convert to fraction form
    14,151.92/19,530 = 7,864.64/x
  3. Step 3: Cross multiply
    14,151.92x = 19,530 × 7,864.64
  4. Step 4: Simplify right side
    14,151.92x = 153,596,419.20
  5. Step 5: Solve for x
    x = 153,596,419.20/14,151.92
  6. Step 6: Final answer
    x = 10,853.40

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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.