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Finding the Fourth Proportional to 30,477.87, 42,019.16 and 21,972.87

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Solution

The fourth proportional to 30,477.87, 42,019.16 and 21,972.87 is: 30,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.87 : 42,019.16 = 21,972.87 : x
  2. Step 2: Convert to fraction form
    30,477.87/42,019.16 = 21,972.87/x
  3. Step 3: Cross multiply
    30,477.87x = 42,019.16 × 21,972.87
  4. Step 4: Simplify right side
    30,477.87x = 923,281,430.32
  5. Step 5: Solve for x
    x = 923,281,430.32/30,477.87
  6. Step 6: Final answer
    x = 30,293.50

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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.