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Finding the Fourth Proportional to 31,509, 47,258.64 and 10,458.18

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Solution

The fourth proportional to 31,509, 47,258.64 and 10,458.18 is: 15,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509 : 47,258.64 = 10,458.18 : x
  2. Step 2: Convert to fraction form
    31,509/47,258.64 = 10,458.18/x
  3. Step 3: Cross multiply
    31,509x = 47,258.64 × 10,458.18
  4. Step 4: Simplify right side
    31,509x = 494,239,363.68
  5. Step 5: Solve for x
    x = 494,239,363.68/31,509
  6. Step 6: Final answer
    x = 15,685.66

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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.