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Finding the Fourth Proportional to 11,585.54, 15,978.53 and 7,106.14

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Solution

The fourth proportional to 11,585.54, 15,978.53 and 7,106.14 is: 9,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.54 : 15,978.53 = 7,106.14 : x
  2. Step 2: Convert to fraction form
    11,585.54/15,978.53 = 7,106.14/x
  3. Step 3: Cross multiply
    11,585.54x = 15,978.53 × 7,106.14
  4. Step 4: Simplify right side
    11,585.54x = 113,545,671.17
  5. Step 5: Solve for x
    x = 113,545,671.17/11,585.54
  6. Step 6: Final answer
    x = 9,800.64

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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.