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Finding the Fourth Proportional to 11,478.66, 15,837.63 and 7,002.12

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Solution

The fourth proportional to 11,478.66, 15,837.63 and 7,002.12 is: 9,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.66 : 15,837.63 = 7,002.12 : x
  2. Step 2: Convert to fraction form
    11,478.66/15,837.63 = 7,002.12/x
  3. Step 3: Cross multiply
    11,478.66x = 15,837.63 × 7,002.12
  4. Step 4: Simplify right side
    11,478.66x = 110,896,985.78
  5. Step 5: Solve for x
    x = 110,896,985.78/11,478.66
  6. Step 6: Final answer
    x = 9,661.14

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1.5x scale

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.