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Finding the Fourth Proportional to 9,862.95, 13,608.72 and 6,464.91

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Solution

The fourth proportional to 9,862.95, 13,608.72 and 6,464.91 is: 8,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.95 : 13,608.72 = 6,464.91 : x
  2. Step 2: Convert to fraction form
    9,862.95/13,608.72 = 6,464.91/x
  3. Step 3: Cross multiply
    9,862.95x = 13,608.72 × 6,464.91
  4. Step 4: Simplify right side
    9,862.95x = 87,979,150.02
  5. Step 5: Solve for x
    x = 87,979,150.02/9,862.95
  6. Step 6: Final answer
    x = 8,920.17

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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.