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Finding the Fourth Proportional to 6,953.72, 10,430.58 and 6,405.08

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Solution

The fourth proportional to 6,953.72, 10,430.58 and 6,405.08 is: 9,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.72 : 10,430.58 = 6,405.08 : x
  2. Step 2: Convert to fraction form
    6,953.72/10,430.58 = 6,405.08/x
  3. Step 3: Cross multiply
    6,953.72x = 10,430.58 × 6,405.08
  4. Step 4: Simplify right side
    6,953.72x = 66,808,699.35
  5. Step 5: Solve for x
    x = 66,808,699.35/6,953.72
  6. Step 6: Final answer
    x = 9,607.62

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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.