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Finding the Fourth Proportional to 9,778.32, 14,574.74 and 9,701.78

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Solution

The fourth proportional to 9,778.32, 14,574.74 and 9,701.78 is: 14,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 14,574.74 = 9,701.78 : x
  2. Step 2: Convert to fraction form
    9,778.32/14,574.74 = 9,701.78/x
  3. Step 3: Cross multiply
    9,778.32x = 14,574.74 × 9,701.78
  4. Step 4: Simplify right side
    9,778.32x = 141,400,799.65
  5. Step 5: Solve for x
    x = 141,400,799.65/9,778.32
  6. Step 6: Final answer
    x = 14,460.64

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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.