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Finding the Fourth Proportional to 32,628, 45,030.48 and 19,380

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Solution

The fourth proportional to 32,628, 45,030.48 and 19,380 is: 26,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,628 : 45,030.48 = 19,380 : x
  2. Step 2: Convert to fraction form
    32,628/45,030.48 = 19,380/x
  3. Step 3: Cross multiply
    32,628x = 45,030.48 × 19,380
  4. Step 4: Simplify right side
    32,628x = 872,690,702.40
  5. Step 5: Solve for x
    x = 872,690,702.40/32,628
  6. Step 6: Final answer
    x = 26,746.68

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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.