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Finding the Fourth Proportional to 34,681.60, 52,012.80 and 13,907.20

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Solution

The fourth proportional to 34,681.60, 52,012.80 and 13,907.20 is: 20,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681.60 : 52,012.80 = 13,907.20 : x
  2. Step 2: Convert to fraction form
    34,681.60/52,012.80 = 13,907.20/x
  3. Step 3: Cross multiply
    34,681.60x = 52,012.80 × 13,907.20
  4. Step 4: Simplify right side
    34,681.60x = 723,352,412.16
  5. Step 5: Solve for x
    x = 723,352,412.16/34,681.60
  6. Step 6: Final answer
    x = 20,856.95

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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.