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Finding the Fourth Proportional to 7,716, 10,653.20 and 4,777.12

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Solution

The fourth proportional to 7,716, 10,653.20 and 4,777.12 is: 6,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716 : 10,653.20 = 4,777.12 : x
  2. Step 2: Convert to fraction form
    7,716/10,653.20 = 4,777.12/x
  3. Step 3: Cross multiply
    7,716x = 10,653.20 × 4,777.12
  4. Step 4: Simplify right side
    7,716x = 50,891,614.78
  5. Step 5: Solve for x
    x = 50,891,614.78/7,716
  6. Step 6: Final answer
    x = 6,595.60

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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.