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Finding the Fourth Proportional to 7,582, 10,463.19 and 4,438.24

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Solution

The fourth proportional to 7,582, 10,463.19 and 4,438.24 is: 6,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 10,463.19 = 4,438.24 : x
  2. Step 2: Convert to fraction form
    7,582/10,463.19 = 4,438.24/x
  3. Step 3: Cross multiply
    7,582x = 10,463.19 × 4,438.24
  4. Step 4: Simplify right side
    7,582x = 46,438,148.39
  5. Step 5: Solve for x
    x = 46,438,148.39/7,582
  6. Step 6: Final answer
    x = 6,124.79

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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.