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Finding the Fourth Proportional to 9,263.70, 12,784.16 and 5,285.86

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Solution

The fourth proportional to 9,263.70, 12,784.16 and 5,285.86 is: 7,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.70 : 12,784.16 = 5,285.86 : x
  2. Step 2: Convert to fraction form
    9,263.70/12,784.16 = 5,285.86/x
  3. Step 3: Cross multiply
    9,263.70x = 12,784.16 × 5,285.86
  4. Step 4: Simplify right side
    9,263.70x = 67,575,261.23
  5. Step 5: Solve for x
    x = 67,575,261.23/9,263.70
  6. Step 6: Final answer
    x = 7,294.63

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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.