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Finding the Fourth Proportional to 9,836.40, 14,783.40 and 8,569.20

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Solution

The fourth proportional to 9,836.40, 14,783.40 and 8,569.20 is: 12,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.40 : 14,783.40 = 8,569.20 : x
  2. Step 2: Convert to fraction form
    9,836.40/14,783.40 = 8,569.20/x
  3. Step 3: Cross multiply
    9,836.40x = 14,783.40 × 8,569.20
  4. Step 4: Simplify right side
    9,836.40x = 126,681,911.28
  5. Step 5: Solve for x
    x = 126,681,911.28/9,836.40
  6. Step 6: Final answer
    x = 12,878.89

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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.