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Finding the Fourth Proportional to 9,457.65, 13,050.42 and 5,478.21

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Solution

The fourth proportional to 9,457.65, 13,050.42 and 5,478.21 is: 7,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.65 : 13,050.42 = 5,478.21 : x
  2. Step 2: Convert to fraction form
    9,457.65/13,050.42 = 5,478.21/x
  3. Step 3: Cross multiply
    9,457.65x = 13,050.42 × 5,478.21
  4. Step 4: Simplify right side
    9,457.65x = 71,492,941.35
  5. Step 5: Solve for x
    x = 71,492,941.35/9,457.65
  6. Step 6: Final answer
    x = 7,559.27

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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.