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Finding the Fourth Proportional to 7,216, 10,768.16 and 6,438.40

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Solution

The fourth proportional to 7,216, 10,768.16 and 6,438.40 is: 9,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216 : 10,768.16 = 6,438.40 : x
  2. Step 2: Convert to fraction form
    7,216/10,768.16 = 6,438.40/x
  3. Step 3: Cross multiply
    7,216x = 10,768.16 × 6,438.40
  4. Step 4: Simplify right side
    7,216x = 69,329,721.34
  5. Step 5: Solve for x
    x = 69,329,721.34/7,216
  6. Step 6: Final answer
    x = 9,607.78

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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.