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Finding the Fourth Proportional to 19,312.68, 28,946.94 and 8,203.08

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Solution

The fourth proportional to 19,312.68, 28,946.94 and 8,203.08 is: 12,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.68 : 28,946.94 = 8,203.08 : x
  2. Step 2: Convert to fraction form
    19,312.68/28,946.94 = 8,203.08/x
  3. Step 3: Cross multiply
    19,312.68x = 28,946.94 × 8,203.08
  4. Step 4: Simplify right side
    19,312.68x = 237,454,064.58
  5. Step 5: Solve for x
    x = 237,454,064.58/19,312.68
  6. Step 6: Final answer
    x = 12,295.24

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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.