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Finding the Fourth Proportional to 9,303.60, 14,017.46 and 8,415.16

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Solution

The fourth proportional to 9,303.60, 14,017.46 and 8,415.16 is: 12,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.60 : 14,017.46 = 8,415.16 : x
  2. Step 2: Convert to fraction form
    9,303.60/14,017.46 = 8,415.16/x
  3. Step 3: Cross multiply
    9,303.60x = 14,017.46 × 8,415.16
  4. Step 4: Simplify right side
    9,303.60x = 117,959,168.69
  5. Step 5: Solve for x
    x = 117,959,168.69/9,303.60
  6. Step 6: Final answer
    x = 12,678.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.