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Finding the Fourth Proportional to 9,642.46, 13,306.98 and 7,280.50

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Solution

The fourth proportional to 9,642.46, 13,306.98 and 7,280.50 is: 10,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.46 : 13,306.98 = 7,280.50 : x
  2. Step 2: Convert to fraction form
    9,642.46/13,306.98 = 7,280.50/x
  3. Step 3: Cross multiply
    9,642.46x = 13,306.98 × 7,280.50
  4. Step 4: Simplify right side
    9,642.46x = 96,881,467.89
  5. Step 5: Solve for x
    x = 96,881,467.89/9,642.46
  6. Step 6: Final answer
    x = 10,047.38

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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.