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Finding the Fourth Proportional to 7,710.50, 10,641.93 and 4,398.50

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Solution

The fourth proportional to 7,710.50, 10,641.93 and 4,398.50 is: 6,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.50 : 10,641.93 = 4,398.50 : x
  2. Step 2: Convert to fraction form
    7,710.50/10,641.93 = 4,398.50/x
  3. Step 3: Cross multiply
    7,710.50x = 10,641.93 × 4,398.50
  4. Step 4: Simplify right side
    7,710.50x = 46,808,529.11
  5. Step 5: Solve for x
    x = 46,808,529.11/7,710.50
  6. Step 6: Final answer
    x = 6,070.75

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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.