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Finding the Fourth Proportional to 10,594.66, 14,629 and 8,602.06

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Solution

The fourth proportional to 10,594.66, 14,629 and 8,602.06 is: 11,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.66 : 14,629 = 8,602.06 : x
  2. Step 2: Convert to fraction form
    10,594.66/14,629 = 8,602.06/x
  3. Step 3: Cross multiply
    10,594.66x = 14,629 × 8,602.06
  4. Step 4: Simplify right side
    10,594.66x = 125,839,535.74
  5. Step 5: Solve for x
    x = 125,839,535.74/10,594.66
  6. Step 6: Final answer
    x = 11,877.64

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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.