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Finding the Fourth Proportional to 9,877.94, 13,636.51 and 7,634.74

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Solution

The fourth proportional to 9,877.94, 13,636.51 and 7,634.74 is: 10,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.94 : 13,636.51 = 7,634.74 : x
  2. Step 2: Convert to fraction form
    9,877.94/13,636.51 = 7,634.74/x
  3. Step 3: Cross multiply
    9,877.94x = 13,636.51 × 7,634.74
  4. Step 4: Simplify right side
    9,877.94x = 104,111,206.32
  5. Step 5: Solve for x
    x = 104,111,206.32/9,877.94
  6. Step 6: Final answer
    x = 10,539.77

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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.