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Finding the Fourth Proportional to 7,018.85, 9,686.94 and 6,788.07

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Solution

The fourth proportional to 7,018.85, 9,686.94 and 6,788.07 is: 9,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.85 : 9,686.94 = 6,788.07 : x
  2. Step 2: Convert to fraction form
    7,018.85/9,686.94 = 6,788.07/x
  3. Step 3: Cross multiply
    7,018.85x = 9,686.94 × 6,788.07
  4. Step 4: Simplify right side
    7,018.85x = 65,755,667.71
  5. Step 5: Solve for x
    x = 65,755,667.71/7,018.85
  6. Step 6: Final answer
    x = 9,368.45

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1.5x scale

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.