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Finding the Fourth Proportional to 11,360, 15,676.80 and 9,363.20

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Solution

The fourth proportional to 11,360, 15,676.80 and 9,363.20 is: 12,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360 : 15,676.80 = 9,363.20 : x
  2. Step 2: Convert to fraction form
    11,360/15,676.80 = 9,363.20/x
  3. Step 3: Cross multiply
    11,360x = 15,676.80 × 9,363.20
  4. Step 4: Simplify right side
    11,360x = 146,785,013.76
  5. Step 5: Solve for x
    x = 146,785,013.76/11,360
  6. Step 6: Final answer
    x = 12,921.22

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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.