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Finding the Fourth Proportional to 42,955.25, 64,409.18 and 12,965.40

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Solution

The fourth proportional to 42,955.25, 64,409.18 and 12,965.40 is: 19,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,955.25 : 64,409.18 = 12,965.40 : x
  2. Step 2: Convert to fraction form
    42,955.25/64,409.18 = 12,965.40/x
  3. Step 3: Cross multiply
    42,955.25x = 64,409.18 × 12,965.40
  4. Step 4: Simplify right side
    42,955.25x = 835,090,717.55
  5. Step 5: Solve for x
    x = 835,090,717.55/42,955.25
  6. Step 6: Final answer
    x = 19,440.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.