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Finding the Fourth Proportional to 9,403, 14,104.50 and 2,477.50

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Solution

The fourth proportional to 9,403, 14,104.50 and 2,477.50 is: 3,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403 : 14,104.50 = 2,477.50 : x
  2. Step 2: Convert to fraction form
    9,403/14,104.50 = 2,477.50/x
  3. Step 3: Cross multiply
    9,403x = 14,104.50 × 2,477.50
  4. Step 4: Simplify right side
    9,403x = 34,943,898.75
  5. Step 5: Solve for x
    x = 34,943,898.75/9,403
  6. Step 6: Final answer
    x = 3,716.25

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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.