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Finding the Fourth Proportional to 22,430.32, 30,947.32 and 14,477.20

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Solution

The fourth proportional to 22,430.32, 30,947.32 and 14,477.20 is: 19,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.32 : 30,947.32 = 14,477.20 : x
  2. Step 2: Convert to fraction form
    22,430.32/30,947.32 = 14,477.20/x
  3. Step 3: Cross multiply
    22,430.32x = 30,947.32 × 14,477.20
  4. Step 4: Simplify right side
    22,430.32x = 448,030,541.10
  5. Step 5: Solve for x
    x = 448,030,541.10/22,430.32
  6. Step 6: Final answer
    x = 19,974.33

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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.