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Finding the Fourth Proportional to 7,077.08, 9,755.16 and 6,505.40

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Solution

The fourth proportional to 7,077.08, 9,755.16 and 6,505.40 is: 8,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.08 : 9,755.16 = 6,505.40 : x
  2. Step 2: Convert to fraction form
    7,077.08/9,755.16 = 6,505.40/x
  3. Step 3: Cross multiply
    7,077.08x = 9,755.16 × 6,505.40
  4. Step 4: Simplify right side
    7,077.08x = 63,461,217.86
  5. Step 5: Solve for x
    x = 63,461,217.86/7,077.08
  6. Step 6: Final answer
    x = 8,967.15

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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.