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Finding the Fourth Proportional to 7,813.75, 10,782.71 and 4,457.65

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Solution

The fourth proportional to 7,813.75, 10,782.71 and 4,457.65 is: 6,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.75 : 10,782.71 = 4,457.65 : x
  2. Step 2: Convert to fraction form
    7,813.75/10,782.71 = 4,457.65/x
  3. Step 3: Cross multiply
    7,813.75x = 10,782.71 × 4,457.65
  4. Step 4: Simplify right side
    7,813.75x = 48,065,547.23
  5. Step 5: Solve for x
    x = 48,065,547.23/7,813.75
  6. Step 6: Final answer
    x = 6,151.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.