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Finding the Fourth Proportional to 40,564, 55,978.32 and 22,900

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Solution

The fourth proportional to 40,564, 55,978.32 and 22,900 is: 31,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564 : 55,978.32 = 22,900 : x
  2. Step 2: Convert to fraction form
    40,564/55,978.32 = 22,900/x
  3. Step 3: Cross multiply
    40,564x = 55,978.32 × 22,900
  4. Step 4: Simplify right side
    40,564x = 1,281,903,528
  5. Step 5: Solve for x
    x = 1,281,903,528/40,564
  6. Step 6: Final answer
    x = 31,602

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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.