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Finding the Fourth Proportional to 7,931.80, 11,897.70 and 7,567.30

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Solution

The fourth proportional to 7,931.80, 11,897.70 and 7,567.30 is: 11,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.80 : 11,897.70 = 7,567.30 : x
  2. Step 2: Convert to fraction form
    7,931.80/11,897.70 = 7,567.30/x
  3. Step 3: Cross multiply
    7,931.80x = 11,897.70 × 7,567.30
  4. Step 4: Simplify right side
    7,931.80x = 90,033,465.21
  5. Step 5: Solve for x
    x = 90,033,465.21/7,931.80
  6. Step 6: Final answer
    x = 11,350.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.