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Finding the Fourth Proportional to 14,312, 19,750.84 and 8,024.78

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Solution

The fourth proportional to 14,312, 19,750.84 and 8,024.78 is: 11,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312 : 19,750.84 = 8,024.78 : x
  2. Step 2: Convert to fraction form
    14,312/19,750.84 = 8,024.78/x
  3. Step 3: Cross multiply
    14,312x = 19,750.84 × 8,024.78
  4. Step 4: Simplify right side
    14,312x = 158,496,145.82
  5. Step 5: Solve for x
    x = 158,496,145.82/14,312
  6. Step 6: Final answer
    x = 11,074.35

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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.