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Finding the Fourth Proportional to 7,658.64, 10,573.20 and 7,133.76

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Solution

The fourth proportional to 7,658.64, 10,573.20 and 7,133.76 is: 9,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.64 : 10,573.20 = 7,133.76 : x
  2. Step 2: Convert to fraction form
    7,658.64/10,573.20 = 7,133.76/x
  3. Step 3: Cross multiply
    7,658.64x = 10,573.20 × 7,133.76
  4. Step 4: Simplify right side
    7,658.64x = 75,426,671.23
  5. Step 5: Solve for x
    x = 75,426,671.23/7,658.64
  6. Step 6: Final answer
    x = 9,848.57

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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.