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Finding the Fourth Proportional to 10,818.48, 14,931.48 and 9,047.28

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Solution

The fourth proportional to 10,818.48, 14,931.48 and 9,047.28 is: 12,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.48 : 14,931.48 = 9,047.28 : x
  2. Step 2: Convert to fraction form
    10,818.48/14,931.48 = 9,047.28/x
  3. Step 3: Cross multiply
    10,818.48x = 14,931.48 × 9,047.28
  4. Step 4: Simplify right side
    10,818.48x = 135,089,280.37
  5. Step 5: Solve for x
    x = 135,089,280.37/10,818.48
  6. Step 6: Final answer
    x = 12,486.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.