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Finding the Fourth Proportional to 31,405.50, 47,129.85 and 12,937.50

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Solution

The fourth proportional to 31,405.50, 47,129.85 and 12,937.50 is: 19,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.50 : 47,129.85 = 12,937.50 : x
  2. Step 2: Convert to fraction form
    31,405.50/47,129.85 = 12,937.50/x
  3. Step 3: Cross multiply
    31,405.50x = 47,129.85 × 12,937.50
  4. Step 4: Simplify right side
    31,405.50x = 609,742,434.38
  5. Step 5: Solve for x
    x = 609,742,434.38/31,405.50
  6. Step 6: Final answer
    x = 19,415.15

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1.5x scale

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.