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Finding the Fourth Proportional to 31,465, 47,204.80 and 10,688.52

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Solution

The fourth proportional to 31,465, 47,204.80 and 10,688.52 is: 16,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465 : 47,204.80 = 10,688.52 : x
  2. Step 2: Convert to fraction form
    31,465/47,204.80 = 10,688.52/x
  3. Step 3: Cross multiply
    31,465x = 47,204.80 × 10,688.52
  4. Step 4: Simplify right side
    31,465x = 504,549,448.90
  5. Step 5: Solve for x
    x = 504,549,448.90/31,465
  6. Step 6: Final answer
    x = 16,035.26

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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.