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Finding the Fourth Proportional to 42,604, 63,916.40 and 13,420

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Solution

The fourth proportional to 42,604, 63,916.40 and 13,420 is: 20,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,604 : 63,916.40 = 13,420 : x
  2. Step 2: Convert to fraction form
    42,604/63,916.40 = 13,420/x
  3. Step 3: Cross multiply
    42,604x = 63,916.40 × 13,420
  4. Step 4: Simplify right side
    42,604x = 857,758,088
  5. Step 5: Solve for x
    x = 857,758,088/42,604
  6. Step 6: Final answer
    x = 20,133.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.