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Finding the Fourth Proportional to 12,681.70, 18,994.82 and 6,430.98

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Solution

The fourth proportional to 12,681.70, 18,994.82 and 6,430.98 is: 9,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.70 : 18,994.82 = 6,430.98 : x
  2. Step 2: Convert to fraction form
    12,681.70/18,994.82 = 6,430.98/x
  3. Step 3: Cross multiply
    12,681.70x = 18,994.82 × 6,430.98
  4. Step 4: Simplify right side
    12,681.70x = 122,155,307.52
  5. Step 5: Solve for x
    x = 122,155,307.52/12,681.70
  6. Step 6: Final answer
    x = 9,632.41

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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.