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Finding the Fourth Proportional to 7,762.47, 10,727.42 and 6,898.47

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Solution

The fourth proportional to 7,762.47, 10,727.42 and 6,898.47 is: 9,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.47 : 10,727.42 = 6,898.47 : x
  2. Step 2: Convert to fraction form
    7,762.47/10,727.42 = 6,898.47/x
  3. Step 3: Cross multiply
    7,762.47x = 10,727.42 × 6,898.47
  4. Step 4: Simplify right side
    7,762.47x = 74,002,750.56
  5. Step 5: Solve for x
    x = 74,002,750.56/7,762.47
  6. Step 6: Final answer
    x = 9,533.40

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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.