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Finding the Fourth Proportional to 9,400.59, 12,986.33 and 7,509.69

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Solution

The fourth proportional to 9,400.59, 12,986.33 and 7,509.69 is: 10,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.59 : 12,986.33 = 7,509.69 : x
  2. Step 2: Convert to fraction form
    9,400.59/12,986.33 = 7,509.69/x
  3. Step 3: Cross multiply
    9,400.59x = 12,986.33 × 7,509.69
  4. Step 4: Simplify right side
    9,400.59x = 97,523,274.99
  5. Step 5: Solve for x
    x = 97,523,274.99/9,400.59
  6. Step 6: Final answer
    x = 10,374.17

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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.