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Finding the Fourth Proportional to 9,877.64, 13,623.27 and 8,390.48

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Solution

The fourth proportional to 9,877.64, 13,623.27 and 8,390.48 is: 11,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.64 : 13,623.27 = 8,390.48 : x
  2. Step 2: Convert to fraction form
    9,877.64/13,623.27 = 8,390.48/x
  3. Step 3: Cross multiply
    9,877.64x = 13,623.27 × 8,390.48
  4. Step 4: Simplify right side
    9,877.64x = 114,305,774.47
  5. Step 5: Solve for x
    x = 114,305,774.47/9,877.64
  6. Step 6: Final answer
    x = 11,572.17

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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.