Home / 6,416.40-9,618-4,078.12

Finding the Fourth Proportional to 6,416.40, 9,618 and 4,078.12

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Solution

The fourth proportional to 6,416.40, 9,618 and 4,078.12 is: 6,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.40 : 9,618 = 4,078.12 : x
  2. Step 2: Convert to fraction form
    6,416.40/9,618 = 4,078.12/x
  3. Step 3: Cross multiply
    6,416.40x = 9,618 × 4,078.12
  4. Step 4: Simplify right side
    6,416.40x = 39,223,358.16
  5. Step 5: Solve for x
    x = 39,223,358.16/6,416.40
  6. Step 6: Final answer
    x = 6,112.99

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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.