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Finding the Fourth Proportional to 9,878.40, 14,787.36 and 9,239.04

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Solution

The fourth proportional to 9,878.40, 14,787.36 and 9,239.04 is: 13,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 14,787.36 = 9,239.04 : x
  2. Step 2: Convert to fraction form
    9,878.40/14,787.36 = 9,239.04/x
  3. Step 3: Cross multiply
    9,878.40x = 14,787.36 × 9,239.04
  4. Step 4: Simplify right side
    9,878.40x = 136,621,010.53
  5. Step 5: Solve for x
    x = 136,621,010.53/9,878.40
  6. Step 6: Final answer
    x = 13,830.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.