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Finding the Fourth Proportional to 7,547.42, 10,420.00 and 5,865.65

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Solution

The fourth proportional to 7,547.42, 10,420.00 and 5,865.65 is: 8,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.42 : 10,420.00 = 5,865.65 : x
  2. Step 2: Convert to fraction form
    7,547.42/10,420.00 = 5,865.65/x
  3. Step 3: Cross multiply
    7,547.42x = 10,420.00 × 5,865.65
  4. Step 4: Simplify right side
    7,547.42x = 61,120,084.39
  5. Step 5: Solve for x
    x = 61,120,084.39/7,547.42
  6. Step 6: Final answer
    x = 8,098.15

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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.