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Finding the Fourth Proportional to 42,653.60, 63,985.20 and 13,071.20

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Solution

The fourth proportional to 42,653.60, 63,985.20 and 13,071.20 is: 19,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,653.60 : 63,985.20 = 13,071.20 : x
  2. Step 2: Convert to fraction form
    42,653.60/63,985.20 = 13,071.20/x
  3. Step 3: Cross multiply
    42,653.60x = 63,985.20 × 13,071.20
  4. Step 4: Simplify right side
    42,653.60x = 836,363,346.24
  5. Step 5: Solve for x
    x = 836,363,346.24/42,653.60
  6. Step 6: Final answer
    x = 19,608.27

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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.