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Finding the Fourth Proportional to 35,347.32, 48,776.94 and 19,431

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Solution

The fourth proportional to 35,347.32, 48,776.94 and 19,431 is: 26,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347.32 : 48,776.94 = 19,431 : x
  2. Step 2: Convert to fraction form
    35,347.32/48,776.94 = 19,431/x
  3. Step 3: Cross multiply
    35,347.32x = 48,776.94 × 19,431
  4. Step 4: Simplify right side
    35,347.32x = 947,784,721.14
  5. Step 5: Solve for x
    x = 947,784,721.14/35,347.32
  6. Step 6: Final answer
    x = 26,813.48

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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.