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Finding the Fourth Proportional to 31,575, 47,370.60 and 10,798.50

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Solution

The fourth proportional to 31,575, 47,370.60 and 10,798.50 is: 16,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575 : 47,370.60 = 10,798.50 : x
  2. Step 2: Convert to fraction form
    31,575/47,370.60 = 10,798.50/x
  3. Step 3: Cross multiply
    31,575x = 47,370.60 × 10,798.50
  4. Step 4: Simplify right side
    31,575x = 511,531,424.10
  5. Step 5: Solve for x
    x = 511,531,424.10/31,575
  6. Step 6: Final answer
    x = 16,200.52

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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.