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Finding the Fourth Proportional to 40,803.98, 56,309.91 and 22,655

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Solution

The fourth proportional to 40,803.98, 56,309.91 and 22,655 is: 31,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803.98 : 56,309.91 = 22,655 : x
  2. Step 2: Convert to fraction form
    40,803.98/56,309.91 = 22,655/x
  3. Step 3: Cross multiply
    40,803.98x = 56,309.91 × 22,655
  4. Step 4: Simplify right side
    40,803.98x = 1,275,701,011.05
  5. Step 5: Solve for x
    x = 1,275,701,011.05/40,803.98
  6. Step 6: Final answer
    x = 31,264.13

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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.