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Finding the Fourth Proportional to 8,364.69, 12,547.02 and 3,430.86

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Solution

The fourth proportional to 8,364.69, 12,547.02 and 3,430.86 is: 5,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.69 : 12,547.02 = 3,430.86 : x
  2. Step 2: Convert to fraction form
    8,364.69/12,547.02 = 3,430.86/x
  3. Step 3: Cross multiply
    8,364.69x = 12,547.02 × 3,430.86
  4. Step 4: Simplify right side
    8,364.69x = 43,047,069.04
  5. Step 5: Solve for x
    x = 43,047,069.04/8,364.69
  6. Step 6: Final answer
    x = 5,146.28

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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.