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Finding the Fourth Proportional to 9,447.59, 14,235.38 and 7,840.14

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Solution

The fourth proportional to 9,447.59, 14,235.38 and 7,840.14 is: 11,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.59 : 14,235.38 = 7,840.14 : x
  2. Step 2: Convert to fraction form
    9,447.59/14,235.38 = 7,840.14/x
  3. Step 3: Cross multiply
    9,447.59x = 14,235.38 × 7,840.14
  4. Step 4: Simplify right side
    9,447.59x = 111,607,332.95
  5. Step 5: Solve for x
    x = 111,607,332.95/9,447.59
  6. Step 6: Final answer
    x = 11,813.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.