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Finding the Fourth Proportional to 9,303.68, 12,820 and 8,647.40

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Solution

The fourth proportional to 9,303.68, 12,820 and 8,647.40 is: 11,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.68 : 12,820 = 8,647.40 : x
  2. Step 2: Convert to fraction form
    9,303.68/12,820 = 8,647.40/x
  3. Step 3: Cross multiply
    9,303.68x = 12,820 × 8,647.40
  4. Step 4: Simplify right side
    9,303.68x = 110,859,668
  5. Step 5: Solve for x
    x = 110,859,668/9,303.68
  6. Step 6: Final answer
    x = 11,915.68

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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.