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Finding the Fourth Proportional to 42,453, 63,688.70 and 12,873.06

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Solution

The fourth proportional to 42,453, 63,688.70 and 12,873.06 is: 19,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453 : 63,688.70 = 12,873.06 : x
  2. Step 2: Convert to fraction form
    42,453/63,688.70 = 12,873.06/x
  3. Step 3: Cross multiply
    42,453x = 63,688.70 × 12,873.06
  4. Step 4: Simplify right side
    42,453x = 819,868,488.60
  5. Step 5: Solve for x
    x = 819,868,488.60/42,453
  6. Step 6: Final answer
    x = 19,312.38

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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.