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Finding the Fourth Proportional to 16,459.20, 24,656.40 and 9,865.80

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Solution

The fourth proportional to 16,459.20, 24,656.40 and 9,865.80 is: 14,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.20 : 24,656.40 = 9,865.80 : x
  2. Step 2: Convert to fraction form
    16,459.20/24,656.40 = 9,865.80/x
  3. Step 3: Cross multiply
    16,459.20x = 24,656.40 × 9,865.80
  4. Step 4: Simplify right side
    16,459.20x = 243,255,111.12
  5. Step 5: Solve for x
    x = 243,255,111.12/16,459.20
  6. Step 6: Final answer
    x = 14,779.28

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1.5x scale

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.