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Finding the Fourth Proportional to 10,853.40, 14,919.54 and 9,784.20

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Solution

The fourth proportional to 10,853.40, 14,919.54 and 9,784.20 is: 13,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.40 : 14,919.54 = 9,784.20 : x
  2. Step 2: Convert to fraction form
    10,853.40/14,919.54 = 9,784.20/x
  3. Step 3: Cross multiply
    10,853.40x = 14,919.54 × 9,784.20
  4. Step 4: Simplify right side
    10,853.40x = 145,975,763.27
  5. Step 5: Solve for x
    x = 145,975,763.27/10,853.40
  6. Step 6: Final answer
    x = 13,449.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.