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Finding the Fourth Proportional to 7,762.72, 10,689.20 and 6,953.60

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Solution

The fourth proportional to 7,762.72, 10,689.20 and 6,953.60 is: 9,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.72 : 10,689.20 = 6,953.60 : x
  2. Step 2: Convert to fraction form
    7,762.72/10,689.20 = 6,953.60/x
  3. Step 3: Cross multiply
    7,762.72x = 10,689.20 × 6,953.60
  4. Step 4: Simplify right side
    7,762.72x = 74,328,421.12
  5. Step 5: Solve for x
    x = 74,328,421.12/7,762.72
  6. Step 6: Final answer
    x = 9,575.05

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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.