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Finding the Fourth Proportional to 22,803, 31,465.96 and 12,730.64

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Solution

The fourth proportional to 22,803, 31,465.96 and 12,730.64 is: 17,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803 : 31,465.96 = 12,730.64 : x
  2. Step 2: Convert to fraction form
    22,803/31,465.96 = 12,730.64/x
  3. Step 3: Cross multiply
    22,803x = 31,465.96 × 12,730.64
  4. Step 4: Simplify right side
    22,803x = 400,581,809.01
  5. Step 5: Solve for x
    x = 400,581,809.01/22,803
  6. Step 6: Final answer
    x = 17,567.07

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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.