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Finding the Fourth Proportional to 9,808.74, 13,541.64 and 6,461.28

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Solution

The fourth proportional to 9,808.74, 13,541.64 and 6,461.28 is: 8,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.74 : 13,541.64 = 6,461.28 : x
  2. Step 2: Convert to fraction form
    9,808.74/13,541.64 = 6,461.28/x
  3. Step 3: Cross multiply
    9,808.74x = 13,541.64 × 6,461.28
  4. Step 4: Simplify right side
    9,808.74x = 87,496,327.70
  5. Step 5: Solve for x
    x = 87,496,327.70/9,808.74
  6. Step 6: Final answer
    x = 8,920.24

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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.