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Finding the Fourth Proportional to 9,509, 14,250.93 and 6,885.28

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Solution

The fourth proportional to 9,509, 14,250.93 and 6,885.28 is: 10,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509 : 14,250.93 = 6,885.28 : x
  2. Step 2: Convert to fraction form
    9,509/14,250.93 = 6,885.28/x
  3. Step 3: Cross multiply
    9,509x = 14,250.93 × 6,885.28
  4. Step 4: Simplify right side
    9,509x = 98,121,643.31
  5. Step 5: Solve for x
    x = 98,121,643.31/9,509
  6. Step 6: Final answer
    x = 10,318.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.