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Finding the Fourth Proportional to 9,707.40, 13,357.71 and 9,418.32

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Solution

The fourth proportional to 9,707.40, 13,357.71 and 9,418.32 is: 12,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.40 : 13,357.71 = 9,418.32 : x
  2. Step 2: Convert to fraction form
    9,707.40/13,357.71 = 9,418.32/x
  3. Step 3: Cross multiply
    9,707.40x = 13,357.71 × 9,418.32
  4. Step 4: Simplify right side
    9,707.40x = 125,807,187.25
  5. Step 5: Solve for x
    x = 125,807,187.25/9,707.40
  6. Step 6: Final answer
    x = 12,959.93

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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.