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Finding the Fourth Proportional to 7,685.54, 11,527.12 and 4,931.47

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Solution

The fourth proportional to 7,685.54, 11,527.12 and 4,931.47 is: 7,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.54 : 11,527.12 = 4,931.47 : x
  2. Step 2: Convert to fraction form
    7,685.54/11,527.12 = 4,931.47/x
  3. Step 3: Cross multiply
    7,685.54x = 11,527.12 × 4,931.47
  4. Step 4: Simplify right side
    7,685.54x = 56,845,646.47
  5. Step 5: Solve for x
    x = 56,845,646.47/7,685.54
  6. Step 6: Final answer
    x = 7,396.44

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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.