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Finding the Fourth Proportional to 7,210.08, 9,864.32 and 7,178.93

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Solution

The fourth proportional to 7,210.08, 9,864.32 and 7,178.93 is: 9,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.08 : 9,864.32 = 7,178.93 : x
  2. Step 2: Convert to fraction form
    7,210.08/9,864.32 = 7,178.93/x
  3. Step 3: Cross multiply
    7,210.08x = 9,864.32 × 7,178.93
  4. Step 4: Simplify right side
    7,210.08x = 70,815,214.55
  5. Step 5: Solve for x
    x = 70,815,214.55/7,210.08
  6. Step 6: Final answer
    x = 9,821.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.