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Finding the Fourth Proportional to 10,646.42, 14,677.74 and 7,455.42

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Solution

The fourth proportional to 10,646.42, 14,677.74 and 7,455.42 is: 10,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.42 : 14,677.74 = 7,455.42 : x
  2. Step 2: Convert to fraction form
    10,646.42/14,677.74 = 7,455.42/x
  3. Step 3: Cross multiply
    10,646.42x = 14,677.74 × 7,455.42
  4. Step 4: Simplify right side
    10,646.42x = 109,428,716.35
  5. Step 5: Solve for x
    x = 109,428,716.35/10,646.42
  6. Step 6: Final answer
    x = 10,278.46

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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.