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Finding the Fourth Proportional to 9,643.50, 14,465.28 and 2,347.50

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Solution

The fourth proportional to 9,643.50, 14,465.28 and 2,347.50 is: 3,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.50 : 14,465.28 = 2,347.50 : x
  2. Step 2: Convert to fraction form
    9,643.50/14,465.28 = 2,347.50/x
  3. Step 3: Cross multiply
    9,643.50x = 14,465.28 × 2,347.50
  4. Step 4: Simplify right side
    9,643.50x = 33,957,244.80
  5. Step 5: Solve for x
    x = 33,957,244.80/9,643.50
  6. Step 6: Final answer
    x = 3,521.26

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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.