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Finding the Fourth Proportional to 9,264.72, 12,785.22 and 5,285.58

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Solution

The fourth proportional to 9,264.72, 12,785.22 and 5,285.58 is: 7,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.72 : 12,785.22 = 5,285.58 : x
  2. Step 2: Convert to fraction form
    9,264.72/12,785.22 = 5,285.58/x
  3. Step 3: Cross multiply
    9,264.72x = 12,785.22 × 5,285.58
  4. Step 4: Simplify right side
    9,264.72x = 67,577,303.13
  5. Step 5: Solve for x
    x = 67,577,303.13/9,264.72
  6. Step 6: Final answer
    x = 7,294.05

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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.