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Finding the Fourth Proportional to 31,209.40, 46,814.10 and 29,913.40

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Solution

The fourth proportional to 31,209.40, 46,814.10 and 29,913.40 is: 44,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.40 : 46,814.10 = 29,913.40 : x
  2. Step 2: Convert to fraction form
    31,209.40/46,814.10 = 29,913.40/x
  3. Step 3: Cross multiply
    31,209.40x = 46,814.10 × 29,913.40
  4. Step 4: Simplify right side
    31,209.40x = 1,400,368,898.94
  5. Step 5: Solve for x
    x = 1,400,368,898.94/31,209.40
  6. Step 6: Final answer
    x = 44,870.10

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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.