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Finding the Fourth Proportional to 9,934.40, 14,908.80 and 6,646.40

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Solution

The fourth proportional to 9,934.40, 14,908.80 and 6,646.40 is: 9,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.40 : 14,908.80 = 6,646.40 : x
  2. Step 2: Convert to fraction form
    9,934.40/14,908.80 = 6,646.40/x
  3. Step 3: Cross multiply
    9,934.40x = 14,908.80 × 6,646.40
  4. Step 4: Simplify right side
    9,934.40x = 99,089,848.32
  5. Step 5: Solve for x
    x = 99,089,848.32/9,934.40
  6. Step 6: Final answer
    x = 9,974.42

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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.