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Finding the Fourth Proportional to 12,978.70, 19,468.05 and 10,386.70

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Solution

The fourth proportional to 12,978.70, 19,468.05 and 10,386.70 is: 15,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.70 : 19,468.05 = 10,386.70 : x
  2. Step 2: Convert to fraction form
    12,978.70/19,468.05 = 10,386.70/x
  3. Step 3: Cross multiply
    12,978.70x = 19,468.05 × 10,386.70
  4. Step 4: Simplify right side
    12,978.70x = 202,208,794.94
  5. Step 5: Solve for x
    x = 202,208,794.94/12,978.70
  6. Step 6: Final answer
    x = 15,580.05

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1.5x scale

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.