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Finding the Fourth Proportional to 6,458.90, 9,688.35 and 6,458.90

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Solution

The fourth proportional to 6,458.90, 9,688.35 and 6,458.90 is: 9,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.90 : 9,688.35 = 6,458.90 : x
  2. Step 2: Convert to fraction form
    6,458.90/9,688.35 = 6,458.90/x
  3. Step 3: Cross multiply
    6,458.90x = 9,688.35 × 6,458.90
  4. Step 4: Simplify right side
    6,458.90x = 62,576,083.82
  5. Step 5: Solve for x
    x = 62,576,083.82/6,458.90
  6. Step 6: Final answer
    x = 9,688.35

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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.