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Finding the Fourth Proportional to 10,842.60, 16,239.60 and 9,384.60

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Solution

The fourth proportional to 10,842.60, 16,239.60 and 9,384.60 is: 14,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.60 : 16,239.60 = 9,384.60 : x
  2. Step 2: Convert to fraction form
    10,842.60/16,239.60 = 9,384.60/x
  3. Step 3: Cross multiply
    10,842.60x = 16,239.60 × 9,384.60
  4. Step 4: Simplify right side
    10,842.60x = 152,402,150.16
  5. Step 5: Solve for x
    x = 152,402,150.16/10,842.60
  6. Step 6: Final answer
    x = 14,055.87

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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.