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Finding the Fourth Proportional to 42,478.40, 58,620 and 23,614.40

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Solution

The fourth proportional to 42,478.40, 58,620 and 23,614.40 is: 32,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,478.40 : 58,620 = 23,614.40 : x
  2. Step 2: Convert to fraction form
    42,478.40/58,620 = 23,614.40/x
  3. Step 3: Cross multiply
    42,478.40x = 58,620 × 23,614.40
  4. Step 4: Simplify right side
    42,478.40x = 1,384,276,128
  5. Step 5: Solve for x
    x = 1,384,276,128/42,478.40
  6. Step 6: Final answer
    x = 32,587.77

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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.