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Finding the Fourth Proportional to 7,888.36, 10,931.95 and 7,777

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Solution

The fourth proportional to 7,888.36, 10,931.95 and 7,777 is: 10,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.36 : 10,931.95 = 7,777 : x
  2. Step 2: Convert to fraction form
    7,888.36/10,931.95 = 7,777/x
  3. Step 3: Cross multiply
    7,888.36x = 10,931.95 × 7,777
  4. Step 4: Simplify right side
    7,888.36x = 85,017,775.15
  5. Step 5: Solve for x
    x = 85,017,775.15/7,888.36
  6. Step 6: Final answer
    x = 10,777.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.