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Finding the Fourth Proportional to 7,070, 10,530.32 and 6,699.92

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Solution

The fourth proportional to 7,070, 10,530.32 and 6,699.92 is: 9,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 10,530.32 = 6,699.92 : x
  2. Step 2: Convert to fraction form
    7,070/10,530.32 = 6,699.92/x
  3. Step 3: Cross multiply
    7,070x = 10,530.32 × 6,699.92
  4. Step 4: Simplify right side
    7,070x = 70,552,301.57
  5. Step 5: Solve for x
    x = 70,552,301.57/7,070
  6. Step 6: Final answer
    x = 9,979.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.