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Finding the Fourth Proportional to 31,303.64, 43,219.50 and 19,384.50

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Solution

The fourth proportional to 31,303.64, 43,219.50 and 19,384.50 is: 26,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.64 : 43,219.50 = 19,384.50 : x
  2. Step 2: Convert to fraction form
    31,303.64/43,219.50 = 19,384.50/x
  3. Step 3: Cross multiply
    31,303.64x = 43,219.50 × 19,384.50
  4. Step 4: Simplify right side
    31,303.64x = 837,788,397.75
  5. Step 5: Solve for x
    x = 837,788,397.75/31,303.64
  6. Step 6: Final answer
    x = 26,763.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.