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Finding the Fourth Proportional to 9,834.56, 14,646.40 and 9,778.40

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Solution

The fourth proportional to 9,834.56, 14,646.40 and 9,778.40 is: 14,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.56 : 14,646.40 = 9,778.40 : x
  2. Step 2: Convert to fraction form
    9,834.56/14,646.40 = 9,778.40/x
  3. Step 3: Cross multiply
    9,834.56x = 14,646.40 × 9,778.40
  4. Step 4: Simplify right side
    9,834.56x = 143,218,357.76
  5. Step 5: Solve for x
    x = 143,218,357.76/9,834.56
  6. Step 6: Final answer
    x = 14,562.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.