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Finding the Fourth Proportional to 9,677.61, 13,361.49 and 7,435.40

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Solution

The fourth proportional to 9,677.61, 13,361.49 and 7,435.40 is: 10,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.61 : 13,361.49 = 7,435.40 : x
  2. Step 2: Convert to fraction form
    9,677.61/13,361.49 = 7,435.40/x
  3. Step 3: Cross multiply
    9,677.61x = 13,361.49 × 7,435.40
  4. Step 4: Simplify right side
    9,677.61x = 99,347,955.94
  5. Step 5: Solve for x
    x = 99,347,955.94/9,677.61
  6. Step 6: Final answer
    x = 10,265.75

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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.