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Finding the Fourth Proportional to 31,595.88, 47,393.16 and 12,875.16

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Solution

The fourth proportional to 31,595.88, 47,393.16 and 12,875.16 is: 19,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.88 : 47,393.16 = 12,875.16 : x
  2. Step 2: Convert to fraction form
    31,595.88/47,393.16 = 12,875.16/x
  3. Step 3: Cross multiply
    31,595.88x = 47,393.16 × 12,875.16
  4. Step 4: Simplify right side
    31,595.88x = 610,194,517.91
  5. Step 5: Solve for x
    x = 610,194,517.91/31,595.88
  6. Step 6: Final answer
    x = 19,312.47

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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.