Home / 1,560.39-2,154.50-971.19

Finding the Fourth Proportional to 1,560.39, 2,154.50 and 971.19

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Solution

The fourth proportional to 1,560.39, 2,154.50 and 971.19 is: 1,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.39 : 2,154.50 = 971.19 : x
  2. Step 2: Convert to fraction form
    1,560.39/2,154.50 = 971.19/x
  3. Step 3: Cross multiply
    1,560.39x = 2,154.50 × 971.19
  4. Step 4: Simplify right side
    1,560.39x = 2,092,424.00
  5. Step 5: Solve for x
    x = 2,092,424.00/1,560.39
  6. Step 6: Final answer
    x = 1,340.96

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Half scale
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Double scale
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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.