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Finding the Fourth Proportional to 13,260.71, 18,293.65 and 7,946.30

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Solution

The fourth proportional to 13,260.71, 18,293.65 and 7,946.30 is: 10,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260.71 : 18,293.65 = 7,946.30 : x
  2. Step 2: Convert to fraction form
    13,260.71/18,293.65 = 7,946.30/x
  3. Step 3: Cross multiply
    13,260.71x = 18,293.65 × 7,946.30
  4. Step 4: Simplify right side
    13,260.71x = 145,366,856.86
  5. Step 5: Solve for x
    x = 145,366,856.86/13,260.71
  6. Step 6: Final answer
    x = 10,962.22

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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.