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Finding the Fourth Proportional to 9,642.67, 14,449.12 and 6,510.40

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Solution

The fourth proportional to 9,642.67, 14,449.12 and 6,510.40 is: 9,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.67 : 14,449.12 = 6,510.40 : x
  2. Step 2: Convert to fraction form
    9,642.67/14,449.12 = 6,510.40/x
  3. Step 3: Cross multiply
    9,642.67x = 14,449.12 × 6,510.40
  4. Step 4: Simplify right side
    9,642.67x = 94,069,498.45
  5. Step 5: Solve for x
    x = 94,069,498.45/9,642.67
  6. Step 6: Final answer
    x = 9,755.55

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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.