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Finding the Fourth Proportional to 10,611.78, 14,629.05 and 7,458.18

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Solution

The fourth proportional to 10,611.78, 14,629.05 and 7,458.18 is: 10,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.78 : 14,629.05 = 7,458.18 : x
  2. Step 2: Convert to fraction form
    10,611.78/14,629.05 = 7,458.18/x
  3. Step 3: Cross multiply
    10,611.78x = 14,629.05 × 7,458.18
  4. Step 4: Simplify right side
    10,611.78x = 109,106,088.13
  5. Step 5: Solve for x
    x = 109,106,088.13/10,611.78
  6. Step 6: Final answer
    x = 10,281.60

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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.